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1. Collected works of John Tate [2016]
 Works
 Tate, John Torrence, 1925 author.
 Providence, Rhode Island : American Mathematical Society, [2016]
 Description
 Book — 2 volumes : illustrations ; 26 cm
 Summary

 * Part I: Fourier analysis in number fields and Hecke's zetafunctions by J. T. Tate* A note on finite ring extensions by E. Artin and J. T. Tate* On the relation between extremal points of convex sets and homomorphisms of algebras by J. Tate* Genus change in inseparable extensions of function fields by J. Tate* On Chevalley's proof of Luroth's theorem by S. Lang and J. Tate* The higher dimensional cohomology groups of class field theory by J. Tate* The cohomology groups of algebraic number fields by J. T. Tate* On the Galois cohomology of unramified extensions of function fields in one variable by Y. Kawada and J. Tate* On the characters of finite groups by R. Brauer and J. Tate* Homology of Noetherian rings and local rings by J. Tate* WCgroups over $p$adic fields by J. Tate* On the inequality of CastelnuovoSeveri by E. Artin and J. Tate* On the inequality of CastelnuovoSeveri, and Hodge's theorem by J. Tate* Principal homogeneous spaces over abelian varieties by S. Lang and J. Tate* Principal homogeneous spaces for abelian varieties by J. Tate* A different with an odd class by A. Frohlich, J.P. Serre, and J. Tate* Nilpotent quotient groups by J. Tate* Duality theorems in Galois cohomology over number fields by J. Tate* Ramification groups of local fields by S. Sen and J. Tate* Formal complex multiplication in local fields by J. Lubin and J. Tate* Algebraic cycles and poles of zeta functions by J. T. Tate* Elliptic curves and formal groups by J. Lubin, J. Serre, and J. Tate* On the conjectures of Birch and SwinnertonDyer and a geometric analog by J. Tate* Formal moduli for oneparameter formal Lie groups by J. Lubin and J. Tate* The cohomology groups of tori in finite Galois extensions of number fields by J. Tate* Global class field theory by J. T. Tate* Endomorphisms of abelian varieties over finite fields by J. Tate* The rank of elliptic curves by J. T. Tate and I. R. Safarevic* Residues of differentials on curves by J. Tate*$p$divisible groups by J. T. Tate* The work of David Mumford by J. Tate* Classes d'isogenie des varietes abeliennes sur un corps fini (d'apres T. Honda) by J. Tate* Good reduction of abelian varieties by J.P. Serre and J. Tate* Group schemes of prime order by J. Tate and F. Oort* Symbols in arithmetic by J. Tate* Rigid analytic spaces by J. Tate* The Milnor ring of a global field by H. Bass and J. Tate* Appendix by H. Bass and J. Tate* Letter from Tate to Iwasawa on a relation between $K_2$ and Galois cohomology by J. Tate* Points of order
 13 on elliptic curves by B. Mazur and J. Tate* The arithmetic of elliptic curves by J. T. Tate* The
 1974 Fields Medals (I): An algebraic geometer by J. Tate* Algorithm for determining the type of a singular fiber in an elliptic pencil by J. Tate* Letters by J. Tate* Part II: Problem
 9: The general reciprocity law by J. Tate* Relations between $K_2$ and Galois cohomology by J. Tate* Local constants by J. T. Tate* On the torsion in $K_2$ of fields by J. Tate* Fields medals (IV): An instinct for the key idea by J. Tate* A simple proof of the main theorem of elimination theory in algebraic geometry by P. Cartier and J. Tate* Number theoretic background by J. Tate* The HarishSatake transform on $GL_r$ by J. Tate* BrumerStarkStickelberger by J. Tate* On conjugation of abelian varieties of CM type by J. Tate* On Stark's conjectures on the behavior of $L(s, \chi)$ at $s=0$ by J. Tate* Variation of the canonical height of a point depending on a parameter by J. Tate* A reciprocity law for $K_2$traces by S. Rosset and J. Tate* Canonical height pairings via Biextensions by B. Mazur and J. Tate* On $p$adic analogues of the conjectures of Birch and SwinnertonDyer by B. Mazur, J. Tate, and J. Teitelbaum* Refined conjectures of the "Birch and SwinnertonDyer type" by B. Mazur and J. Tate* Commentary on algebra by B. Gross and J. Tate* Some algebras associated to automorphisms of elliptic curves by M. Artin, J. Tate, and M. Van den Bergh* The $p$adic sigma function by B. Mazur and J. Tate* Quantum deformations of $GL_n$ by M. Artin, W. Schelter, and J. Tate* Modules over regular algebras of dimension
 3 by M. Artin, J. Tate, and M. Van den Bergh* Conjectures on algebraic cycles in $\ell$adic cohomology by J. Tate* The center of the 3dimensional and 4dimensional Sklyanin algebras by S. P. Smith and J. Tate* The nonexistence of certain Galois extensions of $\mathbb{Q}$ unramified outside
 2 by J. Tate* The centers of 3dimensional Sklyanin algebras by M. Artin, W. Schelter, and J. Tate* A review of nonArchimedean elliptic functions by J. Tate* Homological properties of Sklyanin algebras by J. Tate and M. Van den Bergh* Linear forms in $p$adic roots of unity by J. Tate and J. F. Voloch* Finite flat group schemes by J. Tate* Bernard Dwork (19231998) by N. M. Katz and J. Tate* Galois cohomology by J. Tate* On a conjecture of Finotti by J. Tate* Refining Gross's conjecture on the values of abelian $L$functions by J. Tate* On the Jacobians of plane cubics by M. Artin, F. RodriguezVillegas, and J. Tate* Computation of $p$adic heights and log convergence by B. Mazur, W. Stein, and J. Tate* Letters by J. Tate.
 (source: Nielsen Book Data)
 * Part I: Fourier analysis in number fields and Hecke's zetafunctions by J. T. Tate* A note on finite ring extensions by E. Artin and J. T. Tate* On the relation between extremal points of convex sets and homomorphisms of algebras by J. Tate* Genus change in inseparable extensions of function fields by J. Tate* On Chevalley's proof of Luroth's theorem by S. Lang and J. Tate* The higher dimensional cohomology groups of class field theory by J. Tate* The cohomology groups of algebraic number fields by J. T. Tate* On the Galois cohomology of unramified extensions of function fields in one variable by Y. Kawada and J. Tate* On the characters of finite groups by R. Brauer and J. Tate* Homology of Noetherian rings and local rings by J. Tate* WCgroups over $p$adic fields by J. Tate* On the inequality of CastelnuovoSeveri by E. Artin and J. Tate* On the inequality of CastelnuovoSeveri, and Hodge's theorem by J. Tate* Principal homogeneous spaces over abelian varieties by S. Lang and J. Tate* Principal homogeneous spaces for abelian varieties by J. Tate* A different with an odd class by A. Frohlich, J.P. Serre, and J. Tate* Nilpotent quotient groups by J. Tate* Duality theorems in Galois cohomology over number fields by J. Tate* Ramification groups of local fields by S. Sen and J. Tate* Formal complex multiplication in local fields by J. Lubin and J. Tate* Algebraic cycles and poles of zeta functions by J. T. Tate* Elliptic curves and formal groups by J. Lubin, J. Serre, and J. Tate* On the conjectures of Birch and SwinnertonDyer and a geometric analog by J. Tate* Formal moduli for oneparameter formal Lie groups by J. Lubin and J. Tate* The cohomology groups of tori in finite Galois extensions of number fields by J. Tate* Global class field theory by J. T. Tate* Endomorphisms of abelian varieties over finite fields by J. Tate* The rank of elliptic curves by J. T. Tate and I. R. Safarevic* Residues of differentials on curves by J. Tate*$p$divisible groups by J. T. Tate* The work of David Mumford by J. Tate* Classes d'isogenie des varietes abeliennes sur un corps fini (d'apres T. Honda) by J. Tate* Good reduction of abelian varieties by J.P. Serre and J. Tate* Group schemes of prime order by J. Tate and F. Oort* Symbols in arithmetic by J. Tate* Rigid analytic spaces by J. Tate* The Milnor ring of a global field by H. Bass and J. Tate* Appendix by H. Bass and J. Tate* Letter from Tate to Iwasawa on a relation between $K_2$ and Galois cohomology by J. Tate* Points of order
 13 on elliptic curves by B. Mazur and J. Tate* The arithmetic of elliptic curves by J. T. Tate* The
 1974 Fields Medals (I): An algebraic geometer by J. Tate* Algorithm for determining the type of a singular fiber in an elliptic pencil by J. Tate* Letters by J. Tate.
 (source: Nielsen Book Data)
 * Part II: Problem
 9: The general reciprocity law by J. Tate* Relations between $K_2$ and Galois cohomology by J. Tate* Local constants by J. T. Tate* On the torsion in $K_2$ of fields by J. Tate* Fields medals (IV): An instinct for the key idea by J. Tate* A simple proof of the main theorem of elimination theory in algebraic geometry by P. Cartier and J. Tate* Number theoretic background by J. Tate* The HarishSatake transform on $GL_r$ by J. Tate* BrumerStarkStickelberger by J. Tate* On conjugation of abelian varieties of CM type by J. Tate* On Stark's conjectures on the behavior of $L(s, \chi)$ at $s=0$ by J. Tate* Variation of the canonical height of a point depending on a parameter by J. Tate* A reciprocity law for $K_2$traces by S. Rosset and J. Tate* Canonical height pairings via Biextensions by B. Mazur and J. Tate* On $p$adic analogues of the conjectures of Birch and SwinnertonDyer by B. Mazur, J. Tate, and J. Teitelbaum* Refined conjectures of the "Birch and SwinnertonDyer type" by B. Mazur and J. Tate* Commentary on algebra by B. Gross and J. Tate* Some algebras associated to automorphisms of elliptic curves by M. Artin, J. Tate, and M. Van den Bergh* The $p$adic sigma function by B. Mazur and J. Tate* Quantum deformations of $GL_n$ by M. Artin, W. Schelter, and J. Tate* Modules over regular algebras of dimension
 3 by M. Artin, J. Tate, and M. Van den Bergh* Conjectures on algebraic cycles in $\ell$adic cohomology by J. Tate* The center of the 3dimensional and 4dimensional Sklyanin algebras by S. P. Smith and J. Tate* The nonexistence of certain Galois extensions of $\mathbb{Q}$ unramified outside
 2 by J. Tate* The centers of 3dimensional Sklyanin algebras by M. Artin, W. Schelter, and J. Tate* A review of nonArchimedean elliptic functions by J. Tate* Homological properties of Sklyanin algebras by J. Tate and M. Van den Bergh* Linear forms in $p$adic roots of unity by J. Tate and J. F. Voloch* Finite flat group schemes by J. Tate* Bernard Dwork (19231998) by N. M. Katz and J. Tate* Galois cohomology by J. Tate* On a conjecture of Finotti by J. Tate* Refining Gross's conjecture on the values of abelian $L$functions by J. Tate* On the Jacobians of plane cubics by M. Artin, F. RodriguezVillegas, and J. Tate* Computation of $p$adic heights and log convergence by B. Mazur, W. Stein, and J. Tate* Letters by J. Tate.
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QA564 .T377 2016 V.1  Unknown 
QA564 .T377 2016 V.2  Unknown 
2. Correspondance SerreTate [2015]
 Serre, JeanPierre, 1926 author, editor.
 Paris : Société mathématique de France, 2015.
 Description
 Book — 2 volumes (xviii, 969 pages) : illustrations, portraits ; 25 cm.
 Summary

 Volume
 1. Préface
 Correspondance, 19561973
 Volume
 2. Correspondance, 19732000
 Quelques échanges postérieurs [20032009]
 Notes
 Documents annexes.
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QA1 .D63 V.14  Unknown 
3. Lectures on Nx(p) [2012]
 Serre, JeanPierre, 1926
 Boca Raton, FL : CRC Press, c2012.
 Description
 Book — ix, 163 p. : ill. ; 24 cm.
 Summary

 Introduction Definition of NX(p) : the ane case Definition of NX(p) : the scheme setting How large is NX(p) When p > ? More properties of p NX(p) The Zeta Point of View Examples Examples Where Dim X(C) =
 0 Examples Where Dim X(C) =
 1 Examples Where Dim X(C) =
 2 The Chebotarev Density Theorem for a Number Field The Prime Number Theorem for a Number Field Chebotarev Theorem Frobenian Functions and Frobenian Sets Examples of SFrobenian Functions and SFrobenian Sets Review of ladic Cohomology The ladic Cohomology Groups Artin's Comparison Theorem Finite FIelds : Grothendieck's Theorem The Case of a Finite Field : The geometric and The Arithmetic Frobenius The Case of a Finite Field : Deligne's Theorems Improved DeligneWeil Bounds Examples Variation with p Auxiliary Results on Group Representations Characters with Few Values Density Estimates The Unitary Trick The ladic Properties of NX(p) NX(p) Viewed as an ladic Character Density Properties About NX(p)  NY (p) The Archimedean Properties of NX(p) The Weight Decomposition of the ladic Character hX The Weight Decomposition : Wxamples and Applications The SatoTate Conjecture Equidistribution Statements The SatoTate Correspondence An ladic Construction of the SatoTate Group Consequences of the SatoTate Conjecture Examples Higher Dimension: The Prime Number Theorem and the Chebotarev Density Theorem The Prime Number Theorem Densities The Chebotarev Density Theorem Proof of the Density Theorem Relative Schemes References Index of Notations Index of Terms.
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QA161 .P59 S44 2012  Unknown 
4. Schémas en groupes (SGA 3) : Séminaire de géométrie algébrique du Bois Marie, 196264 : un séminaire [2011  ]
 Paris : Société mathématique de France, ©2011
 Description
 Book — volumes <1, 3> : illustrations ; 25 cm.
 Summary

 T.
 1. Propriétés générales des schémas en groupes
 t.
 3. Structure des schémas en groupes réductifs.
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QA1 .D63 V.7  Unknown 
QA1 .D63 V.8  Unknown 
5. Exposés de séminaires (19501999) [2008]
 Serre, JeanPierre, 1926 author.
 Deuxième édition, augmentée.  Paris : Société mathématique de France, 2008.
 Description
 Book — vii, 304 pages : illustrations ; 25 cm.
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QA1 .D63 V.1  Unknown 
 Garibaldi, Skip, 1972
 Providence, R.I. : American Mathematical Society, c2003.
 Description
 Book — vii, 168 p. : ill. ; 26 cm.
 Summary

 Cohomological invariants, Witt invariants, and trace forms: Contents by J.P. Serre and S. Garibaldi Introduction by J.P. Serre and S. Garibaldi The notion of "invariant" by J.P. Serre and S. Garibaldi Cohomological preliminaries: The local case by J.P. Serre and S. Garibaldi Cohomological preliminaries: The function field case by J.P. Serre and S. Garibaldi Specialization properties of cohomological invariants by J.P. Serre and S. Garibaldi Restriction and corestriction of invariants by J.P. Serre and S. Garibaldi Cohomological invariants of $O_n, SO_n, \ldots$ by J.P. Serre and S. Garibaldi Cohomological invariants of etale algebras by J.P. Serre and S. Garibaldi Witt invariants by J.P. Serre and S. Garibaldi The trace form in dimension $\le 7$ by J.P. Serre and S. Garibaldi A letter from M. Rost to JP. Serre by M. Rost A letter from JP. Serre to R. S. Garibaldi by J.P. Serre A letter from B. Totaro to JP. Serre by B. Totaro Rost invariants of simply connected algebraic groups: Contents by A. Merkurjev and S. Garibaldi Rost invariants of simply connected algebraic groups by A. Merkurjev and S. Garibaldi The groups $H^{d+1}(F, \mathbb{Q}^mathbb{Z}(d))$ by A. Merkurjev and S. Garibaldi Tables of Dynkin indices by A. Merkurjev and S. Garibaldi Bibliography Index of notation Index of terms.
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QA169 .G37 2003  Unknown 
7. Trees [2003]
 Arbres, amalgames, SL₂. English
 Serre, JeanPierre, 1926
 Corr. 2nd print.  Berlin ; New York : Springer, 2003.
 Description
 Book — ix, 142 p. : ill. ; 24 cm.
 Summary

 I. Trees and Amalgams. x1 Amalgams. 1.1 Direct limits. 1.2 Structure of amalgams. 1.3 Consequences of the structure theorem. 1.4 Constructions using amalgams. 1.5 Examples. x2 Trees. 2.1 Graphs. 2.2 Trees. 2.3 Subtrees of a graph. x3 Trees and free groups. 3.1 Trees of representatives. 3.2 Graph of a free group. 3.3 Free actions on a tree. 3.4 Application: Schreier's theorem. Appendix: Presentation of a group of homeomorphisms. x4 Trees and amalgams. 4.1 The case of two factors. 4.2 Examples of trees associated with amalgams. 4.3 Applications. 4.4 Limit of a tree of groups. 4.5 Amalgams and fundamental domains (general case). x5 Structure of a group acting on a tree. 5.1 Fundamental group of a graph of groups. 5.2 Reduced words. 5.3 Universal covering relative to a graph of groups . .. 5.4 Structure theorem. 5.5 Application: Kurosh's theorem. x6 Amalgams and fixed points. 6.1 The fixed point property for groups acting on trees. 6.2 Consequences of property (FA). 6.3 Examples. 6.4 Fixed points of an automorphism of a tree. 6.5 Groups with fixed points (auxiliary results). 6.6 The case of SL3(Z). II. SL2. x1 The tree of SL2 over a local field. 1.1 The tree. 1.2 The groups GL(V) and SL(V). 1.3 Action of GL(V) on the tree of V stabilizers. 1.4 Amalgams. 1.5 Ihara's theorem. 1.6 Nagao's theorem. 1.7 Connection with Tits systems. x2 Arithmetic subgroups of the groups GL2 and SL2 over a function field of one variable. 2.1 Interpretation of the vertices of F\X as classes of vector bundles of rank over C 96. 2.2 Bundles of rank and decomposable bundles 99. 2.3 Structure of ?\X. 2.4 Examples. 2.5 Structure of ?. 2.6 Auxiliary results. 2.7 Structure of ?: case of a finite field. 2.8 Homology. 2.9 EulerPoincare characteristic.
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QA166.2 .S3713 2003  Unknown 
8. Local algebra [2000]
 Algèbre locale, multiplicités. English
 Serre, JeanPierre, 1926
 Berlin ; New York : Springer, c2000.
 Description
 Book — xiii, 128 p. ; 24 cm.
 Summary

 Prime Ideals and Localization. Tools. Dimension Theory. Homological Dimension and Depth. Multiplicities.
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QA564 .S4313 2000  Unknown 
9. Galois cohomology [1997]
 Cohomologie galoisienne. English
 Serre, JeanPierre, 1926
 Berlin ; New York : Springer, c1997.
 Description
 Book — x, 210 p. ; 25 cm.
 Summary

This is an updated English translation of "Cohomologie Galoisienne" published more than 30 years ago, as one of the very first "Lecture Notes in Mathematics". It includes a reproduction of an influential paper of R. Steinberg, together with some new material and an expanded bibliography.
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QA247 .S45813 1997  Unknown 
10. Motives [1994]
 Providence, R.I. : American Mathematical Society, c1994.
 Description
 Book — 2 v. ; 27 cm.
 Summary

 Part 1. Cohomology: The standard conjectures by S. Kleiman Review of $\ell$adic cohomology by N. M. Katz A summary of mixed Hodge theory by J. H. M. Steenbrink Crystalline cohomology by L. Illusie Conjectures on algebraic cycles in $\ell$adic cohomology by J. Tate Some remarks on the Hodge type conjecture by M. Saito Independence of $\ell$ and weak Lefschetz by N. M. Katz Decompositions dans la categorie derivee by P. Deligne Arithmetic analogs of the standard conjectures by H. Gillet and C. Soule Chow groups, $K$theory and motivic cohomology A quoi servent les motifs? by P. Deligne Classical motives by A. J. Scholl On the Chow motive of an abelian scheme by K. Kunnemann Weight filtrations in algebraic $K$theory by D. R. Grayson An elementary presentation for $K$groups and motivic cohomology by S. Bloch Motivic sheaves and filtrations on Chow groups by U. Jannsen Motivic complexes by S. Lichtenbaum On the bijectivity of some cycle maps by M. Saito Motivic Galois groups Tannakian categories by L. Breen Proprietes conjecturales des groupes de Galois motiviques et des representations $\ell$adiques by J.P. Serre Motives over finite fields by J. S. Milne Motives for absolute Hodge cycles by A. A. Panchishkin CM motives and the Taniyama group by N. Schappacher Structures de Hodge mixtes reelles by P. Deligne $L$functions $L$functions of mixed motives by C. Deninger $L$functions at the central critical point by B. H. Gross Beilinson's conjectures by J. Nekovar Height pairings and special values of $L$functions by A. J. Scholl Autours des conjectures de Bloch et Kato: Cohomologie galoisienne et valeurs de fonctions $L$ by J.M. Fontaine and B. PerrinRiou Motivic $L$functions and regularized determinants by C. Deninger On a result of Deninger concerning Riemann's zeta function by M. Schroter and C. Soule.
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These volumes contain the revised texts of nearly all the lectures presented at the AMSIMSSIAM Joint Summer Research Conference on Motives, held in Seattle in 1991. A number of related works are also included, making for a total of fortyseven papers, from general introductions to specialized surveys to research papers.
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QA1 .A626 V.55:PT.1  Unknown 
QA1 .A626 V.55:PT.2  Unknown 
11. Linear representations of finite groups [1993]
 Représentations linéaires des groupes finis. English
 Serre, JeanPierre, 1926
 Corr. 4th print.  New York : SpringerVerlag, 1993.
 Description
 Book — x, 170 p. ; 24 cm.
 Summary

 Representations and Characters: Generalities on linear representations. Character theory. Subgroups, products, induced representation. Compact groups. Examples. Representations in Characteristic Zero: The group algebra. Induced representations Mackey's criterion. Examples of induced representations. Artin's theorem. A theorem of Brauer. Applications of Brauer's theorem. Rationality question. Rationality questions: examples. Introduction to Brauer Theory: The groups RK(G), Rk(G), and Pk((G). The cde triangle. Theorems. Proofs. Modular characters. Application to Artin representations.
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QA171 .S5313 1993  Unknown 
 New York : SpringerVerlag, c1989.
 Description
 Book — x, 449 p. ; 24 cm.
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QA171 .G26 1989  Unknown 
13. Lectures on the MordellWeil theorem [1989]
 Autour du théorème de MordellWeil. English
 Serre, JeanPierre, 1926
 Braunschweig : F. Vieweg, c1989.
 Description
 Book — x, 218 p. ; 23 cm.
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QA564 .S48 A9 1989  Unknown 
14. Algebraic groups and class fields [1988]
 Groupes algébriques et corps de classes. English
 Serre, JeanPierre, 1926
 New York : SpringerVerlag, c1988.
 Description
 Book — ix, 207 p. ; 25 cm.
 Summary

 Summary of the Main Results. Algebraic Curves. Maps From a Curve to a Commutative Group. Singular Algebraic Curves. Generalized Jacobians. Class Field Theory. Group Extension and Cohomology. Bibliography. Supplementary Bibliography. Index.
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QA171 .S52613 1988  Unknown 
15. Complex semisimple Lie algebras [1987]
 Algèbres de Lie semisimples complexes. English
 Serre, JeanPierre, 1926
 New York : SpringerVerlag, c1987.
 Description
 Book — ix, 74 p. : ill. ; 24 cm.
 Summary

These notes, already well known in their original French edition, give the basic theory of semisimple Lie algebras over the complex numbers including the basic classification theorem. The author begins with a summary of the general properties of nilpotent, solvable, and semisimple Lie algebras. Subsequent chapters introduce Cartan subalgebras, root systems, and representation theory. The theory is illustrated by using the example of sln; in particular, the representation theory of sl2 is completely worked out. The last chapter discusses the connection between Lie algebras and Lie groups, and is intended to guide the reader towards further study.
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QA251 .S4713 1987  Unknown 
16. Oeuvres, collected papers [1986  ]
 Serre, JeanPierre, 1926
 Berlin ; New York : SpringerVerlag, c1986 
 Description
 Book — v. ; ports. ; 25 cm.
 Summary

 v. 1. 19491959
 v. 2. 19601971
 v. 3. 19721984
 v. 4. 19851998
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QA3 .S47 1986 V.1  Unknown 
QA3 .S47 1986 V.2  Unknown 
QA3 .S47 1986 V.3  Unknown 
QA3 .S47 1986 V.4  Unknown 
17. Local fields [1979]
 Serre, JeanPierre, 1926
 New York : SpringerVerlag, c1979.
 Description
 Book — viii, 241 p. ; 25 cm.
 Summary

 Contents: Basic results on discrete valuation rings, Dedekind domains, and completions.Ramification theory: discriminant, different, ramification subgroups, HasseArf theorem, Artin representations.Group cohomology, with emphasis on arithmetical applications: theorems of Tate and Nakayama, Galois cohomology, class formations.Local class field theory, presented from the cohomological point of view. The main result is the determination of the topological Galois group of the maximal abelian extension.
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QA247 .S4613  Unknown 
18. Linear representations of finite groups [1977]
 Représentations linéaires des groupes finis. English
 Serre, JeanPierre, 1926
 New York : SpringerVerlag, c1977.
 Description
 Book — x, 170 p. ; 24 cm.
 Summary

 Representations and Characters: Generalities on linear representations. Character theory. Subgroups, products, induced representation. Compact groups. Examples. Representations in Characteristic Zero: The group algebra. Induced representations Mackey's criterion. Examples of induced representations. Artin's theorem. A theorem of Brauer. Applications of Brauer's theorem. Rationality question. Rationality questions: examples. Introduction to Brauer Theory: The groups RK(G), Rk(G), and Pk((G). The cde triangle. Theorems. Proofs. Modular characters. Application to Artin representations.
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QA171 .S5313 1977  Unknown 
19. A course in arithmetic [1973]
 Serre, JeanPierre, 1926
 New York, SpringerVerlag [1973]
 Description
 Book — viii, 115 p. illus. 25 cm.
 Summary

 Contents: Algebraic Methods: Finite fields. padic fields. Hilbert symbol. Quadratic forms over Qp, and over Q. Integral quadratic forms with discriminant ï¿½1. Analytic Methods: The theorem on arithmetic progressions. Modular forms. Bibliography. Indices.
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QA243 .S4713  Unavailable Checked out  Overdue Request 
QA243 .S4713  Unknown 
20. Représentations linéaires des groupes finis [1971]
 Serre, JeanPierre, 1926
 2e édition ...  Paris, Hermann, 1971.
 Description
 Book — 183 p. 22 cm.
 Online
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QA171 .S53 1971  Unknown 