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 Conference on Representation Theory and Algebraic Geometry in honor of Joseph Bernstein (2017 : Jerusalem, Israel), author.
 Providence, Rhode Island : American Mathematical Society, [2019]
 Description
 Book — x, 450 pages ; 27 cm.
 Summary

 R. Bezrukavnikov and D. Kazhdan, Character values and Hochschild homology A. Braverman and D. Kazhdan, Schwartz space of parabolic basic affine space and asymptotic Hecke algebras C. J. Bushnell and G. Henniart, Explicit local JacquetLanglands correspondence: The nondyadic wild case T.H. Chen, D. Gaitsgory, and A. Yom Din, On the CasselmanJacquet functor W. T. Gan, Periods and theta correspondence D. Gourevitch and S. Sahi, Generalized and degenerate Whittaker quotients and Fourier coefficients C. Gruson and V. Serganova, Geometric approach to the fermionic Fock space, via flag varieties and representations of algebraic (super)groups G. Henniart and M.F. Vigneras, Representations of a $p$adic group in characteristic $p$ E. Lapid, On the support of matrix coefficients of supercuspidal representations of the general linear group over a local nonarchimedean field G. Lusztig, On the generalized Springer correspondence R. Ollivier and P. Schneider, The modular pro$p$ IwahoriHecke Extalgebra E. Opdam, Affine Hecke algebras and the conjectures of Hiraga, Ichino and Ikeda on the Plancherel density A. Reznikov, Limiting cycles and periods of Maass forms L. Xiao and X. Zhu, On vectorvalued twisted conjugation invariant functions on a group with an appendix by Stephen Donkin C.B. Zhu, Local theta correspondence and nilpotent invariants.
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QA1 .A626 V.101  Unknown 
 Smith, Stephen D., 1948 author.
 Providence, Rhode Island : American Mathematical Society, [2018]
 Description
 Book — xiii, 231 pages ; 27 cm.
 Summary

 Background: Simple groups and their properties Outline of the proof of the CFSG: Some main ideas Thompson factorizationand its failure: FFmethods Recognition theorms for simple groups Representation theory of simple groups Maximal subgroups and primitive representations Geometries for simple groups Some fusion techniques for classification problems Some applications close to finite group theory Some applications farther afield from finite groups Appendix A: Some supplementary notes to the text Appendix B: Further remarks on certain exercises Bibliography Index.
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QA3 .A4 V.230  Unknown 
3. Lie groups, geometry, and representation theory : a tribute to the life and work of Bertram Kostant [2018]
 Cham, Switzerland : Birkhäuser, [2018]
 Description
 Book — xii, 540 pages : illustrations ; 24 cm.
 Summary

 Anthony Joseph, A Tribute to Bertram Kostant. Anton Alekseev, Arkady Berenstein, Benjamin Hoffman, Yanpeng Li, Poisson Structures and Potentials. Tomoyuki Arakawa, Kazuya Kawasetsu, Quasilisse Vertex Algebras and Modular Linear Differential Equations. Roman Bezrukavnikov, Ivan Losev, On Dimension Growth of Modular Irreducible Representations of Semisimple Lie Algebras. Alexander Braverman, David Kazhdan, Remarks on the Asymptotic Hecke Algebra. Alexei Davydov, Pavel Etingof, Dmitri Nikshych, Autoequivalences of Tensor Categories Attached to Quantum Groups at Roots of 1. Victor Ginzburg, NilHecke Algebras and Whittaker $\mathscr{D}$Modules. V. Guillemin, A. Uribe, Z. Wang, Spectral Properties of Semiclassical Toeplitz Operators. Anthony Joseph, Dual Kashiwara Functions for the $B(\infty)$ Crystal. Victor G. Kac, Minoru Wakimoto, On Characters of Irreducible Highest Weight Modules of Negative Integer Level over Affine Lie Algebras. Thomas Lam, Alexander Postnikov, Alcoved Polytopes II. Ivan Losev, Representation Theory of Quantized Gieseker Varieties, I. JiangHua Lu, Yipeng Mi, Generalized Bruhat Cells and Completeness of Hamiltonian Flows of KoganZelevinsky Integrable Systems. G. Lusztig, On the Definition of Almost Characters. Eckhard Meinrenken, Verlinde Formulas for Nonsimply Connected Groups. PaulEmile Paradan, Michele Vergne, Equivariant Index of Twisted Dirac Operations and Semiclassical Limits. Vladimir L. Popov, Modality of Representations and Packets for $\theta$Groups. N. Ressayre, Distributions on Homogeneous Spaces and Applications. JeanPierre Serre, On the mod p reduction of orthogonal representations.
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QA387 .L535 2018  Unknown 
 Cham : Springer ; Paris : Société de mathématique de France, [2018]
 Description
 Book — vii, 361 pages : illustrations ; 24 cm.
 Summary

 Notes on the geometric Satake equivalence / Pierre Baumann, Simon Riche
 Distinguished representations of reductive padic groups / Fiona Murnaghan
 Period integrals of automorphic forms and local distinction / Omer Offen
 The trace formula and the proof of the global JacquetLanglands correspondence / A.I. Badulescu
 Distinction of representations via BruhatTits buildings of padic groups / Paul Broussous
 Towards generalized prehomogeneous Zeta integrals / WenWei Li
 Functoriality and the trace formula / James Arthur
 Sur les paquets d'Arthur des groupes classiques et unitaires non quasidéployés / Colette Moeglin, David Renard.
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Shelved by Series title V.2221  Unknown 
 International Workshop and Conference on Representations of Algebras (17th : 2016 : Syracuse, N.Y.)
 [Providence, Rhode Island] : American Mathematical Society, [2018]
 Description
 Book — viii, 281 pages : illustrations ; 26 cm.
 Summary

 Commutative algebraic groups up to isogeny. II / Michel Brion
 Noncommutative resolutions of discriminants / RagnarOlaf Buchweitz; Eleonore Faber; Colin Ingalls
 Polyhedral models for tensor product multiplicities / Jiarui Fei
 Special multiserial algebras, Brauer configuration algebras and more: A survey / Edward L. Green; Sibylle Schroll
 Nakayamatype phenomena in higher AuslanderReiten theory / Gustavo Jasso; Julian Külshammer
 Kpolynomials of type A quiver orbit closures and lacing diagrams / Ryan Kinser
 KrullGabriel dimension and the Ziegler spectrum / Rosanna Laking
 On the K theory of weighted projective curves / Helmut Lenzing
 Finitedimensional algebras arising as blocks of finite group algebras / Markus Linckelmann
 Kronecker modules generated by modules of length 2 / Claus Michael Ringel  Noetherian properties in representation theory / Steven V Sam
 Thick tensor ideals of right bounded derived categories of commutative rings / Ryo Takahashi
 Stability, shards, and preprojective algebras / Hugh Thomas
 Computations and applications of some homological constants for polynomial representations of GLn / Antoine Touzé.
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QA176 .I587 2016  Unknown 
6. A tour of representation theory [2018]
 Lorenz, Martin, 1951 author.
 Providence, Rhode Island : American Mathematical Society, [2018]
 Description
 Book — xvii, 654 pages : illustrations ; 26 cm.
 Summary

 Algebras: Representations of algebras Further topics on algebras Groups: Groups and group algebras Symmetric groups Lie algebras: Lie algebras and enveloping algebras Semisimple Lie algebras Root systems Representations of semisimple Lie algebras Hopf algebras: Coalgebras, bialgebras, and Hopf algebras Representations and actions Affine algebraic groups Finitedimensional Hopf algebras Appendices: The language of categories and functors Background from linear algebra Some commutative algebra The Diamond Lemma The symmetric ring of quotients Bibliography Subject index Index of names Notation.
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QA176 .L67 2018  Unknown 
 Emerton, Matthew, author.
 Providence, Rhode Island : American Mathematical Society, [2017]
 Description
 Book — iv, 158 pages ; 25 cm.
 Summary

 IntroductionNonarchimedean functional analysisNonarchimedean function theoryContinuous, analytic, and locally analytic vectorsSmooth, locally finite, and locally algebraic vectorsRings of distributionsAdmissible locally analytic representationsRepresentations of certain product groupsBibliography.
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Shelved by Series title NO.1175  Unknown 
8. Rationality Problem for Algebraic Tori [2017]
 Hoshi, Akinari, 1978 author.
 Providence, Rhode Island : American Mathematical Society, [2017]
 Description
 Book — v, 215 pages : tables ; 26 cm.
 Summary

 IntroductionPreliminaries: Tate cohomology and flabby resolutionsCARAT ID of the $\mathbb{Z}$classes in dimensions $5$ and $6$KrullSchmidt theorem fails for dimension $5$GAP algorithms: the flabby class $[M_G]^{fl}$Flabby and coflabby $G$lattices$H^1(G, [M_G]^{fl})=0$ for any Bravais group $G$ of dimension $n\leq 6$Norm one toriTate cohomology: GAP computationsProof of Theorem 1.27Proof of Theorem 1.28Proof of Theorem 12.3Application of Theorem 12.3Tables for the stably rational classification of algebraic $k$tori of dimension $5$Bibliography.
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Shelved by Series title NO.1176  Unknown 
 Zürich, Switzerland : European Mathematical Society Publishing House, [2017]
 Description
 Book — x, 763 pages : illustrations ; 25 cm.
 Summary

From April 2009 until March 2016, the German Science Foundation supported generously the Priority Program SPP 1388 in Representation Theory. The core principles of the projects realized in the framework of the priority program have been categorification and geometrization, this is also reflected by the contributions to this volume. Apart from the articles by former postdocs supported by the priority program, the volume contains a number of invited research and survey articles, many of them are extended versions of talks given at the last joint meeting of the priority program in Bad Honnef in March 2015. This volume is covering current research topics from the representation theory of finite groups, of algebraic groups, of Lie superalgebras, of finite dimensional algebras and of infinite dimensional Lie groups. Graduate students and researchers in mathematics interested in representation theory will find this volume inspiring. It contains many stimulating contributions to the development of this broad and extremely diverse subject.
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QA176 .R455 2017  Unknown 
 Borodin, Alexei, author.
 Cambridge, United Kingdom : Cambridge University Press, 2017.
 Description
 Book — vii, 160 pages : illustrations ; 24 cm.
 Summary

 Introduction Part I. Symmetric Functions and Thoma's Theorem:
 1. Preliminary facts from representation theory of finite symmetric groups
 2. Theory of symmetric functions
 3. Coherent systems on the Young graph
 4. Extreme characters and Thoma's Theorem
 5. A toy model (the Pascal Graph) and de Finetti's Theorem
 6. Asymptotics of relative dimension in the Young graph
 7. Boundaries and Gibbs measures on paths Part II. Unitary Representations:
 8. Preliminaries and Gelfand pairs
 9. Classification of general spherical type representations
 10. Realization of irreducible spherical representations of (S( ) x S( ), diagS( ))
 11. Generalized regular representations Tz
 12. Disjointness of representations Tz References Index.
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QA613.8 .B67 2017  Unknown 
 Webb, Peter, 1954 author.
 Cambridge, United Kingdom : Cambridge University Press, 2016.
 Description
 Book — xi, 325 pages : illustrations ; 24 cm.
 Summary

 1. Representations and Maschke's theorem
 2. Algebras with semisimple modules
 3. Characters
 4. Construction of characters
 5. Theorems of Mackey and Clifford
 6. pgroups and the radical
 7. Projective modules for algebras
 8. Projective modules for group algebras
 9. Splitting fields and the decomposition map
 10. Brauer characters
 11. Indecomposable modules
 12. Blocks.
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QA177 .W43 2016  Unknown 
 Luu, Martin T., 1983 author.
 Providence, Rhode Island : American Mathematical Society, [2015]
 Description
 Book — vii, 101 pages : illustrations ; 26 cm.
 Summary

 * Introduction* Preliminaries* Localglobal compatibility for Hilbert modular forms* Localglobal compatibility results via crystalline periods* Local semisimplifications: The case of general linear groups* Local semisimplifications: The case of symplectic groups* Congruences* Local monodromy operators: The case of general linear groups* Local monodromy operators: The case of symplectic groups* Bibliography* Index.
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Shelved by Series title NO.1123  Unknown 
 Boylan, Hatice, author.
 Cham ; New York : Springer, [2015]
 Description
 Book — xix, 130 pages : illustrations ; 24 cm.
 Summary

 Introduction. Notations. Finite Quadratic Modules. Weil Representations of Finite Quadratic Modules. Jacobi Forms over Totally Real Number Fields. Singular Jacobi Forms. Tables. Glossary.
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Shelved by Series title V.2130  Unknown 
 Prasad, Amritanshu, author.
 Delhi, India : Cambridge University Press, 2015.
 Description
 Book — xii, 191 pages : illustrations ; 24 cm.
 Summary

 List of tables Preface
 1. Basic concepts of representation theory
 2. Permutation representations
 3. The RSK correspondence
 4. Character twists
 5. Symmetric functions
 6. Representations of general linear groups Hints and solutions to selected exercises Suggestions for further reading References Index.
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QA182.5 .P73 2015  Unknown 
15. Representations of reductive groups : in honor of the 60th birthday of David A. Vogan, Jr. [2015]
 Cham ; New York : Birkhäuser, c2015.
 Description
 Book — xviii, 532 pages : color illustrations ; 25 cm.
 Summary

 Preface. McGovern, Trapa, The Mathematical Work of David A. Vogan, Jr. Achar, On Exotic and PerverseCoherent Sheaves. Adams, Vogan, Jr., Parameters for Twisted Representations. Barbasch, Ciubotaru, Ladder Representations of GL (n, Qp). Bhargava, Gross, Wang, Arithmetic Invariant Theory II: Pure Inner Forms and Obstructions to the Existence of Orbits. Bonnafe, Geck, Hecke Algebras with Unequal Parameters and Vogan's Left Cell Invariants. Graham, Li, The Smooth Loci of Spiral Schubert Varieties of Type A2. He, Centers and Cocenters of 0Hecke Algebras. Huang, Dirac Cohomology, Elliptic Representations, and Endoscopy. Kobayashi, A Program for Branching Problems in the Representation Theory of Real Reductive Groups. Kostant, Equations for a Filtration of Sheets and The Variety of Singular Elements of a Complex Semisimple Lie Algebra. Lusztig, On Conjugacy Classes in a Reductive Group. Lusztig, Vogan, Jr., Hecke Algebras and Involutions in Coxeter Groups. Marberg, Comparing and Characterizing some Constructions of Canonical Bases from Coxeter Groups. McGovern, Upper Semicontinuity of KLV Polynomials for Certain Blocks of HarishChandra Modules. Schmid, Vilonen, Hodge Theory and Unitary Representations, in the Example of SL(2, R). Shelstad, On Elliptic Factors in Real Endoscopic Transfer I. Wallach, On the GelfandKirillov Dimension of a Discrete Series Representation. Williamson, A Reducible Characteristic Variety in Type A.
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QA171 .R425 2015  Unknown 
 Kowalski, Emmanuel, 1969 author.
 Providence, Rhode Island : American Mathematical Society, [2014]
 Description
 Book — vi, 432 pages : illustrations ; 27 cm.
 Summary

 Introduction and motivation The language of representation theory Variants Linear representations of finite groups Abstract representation theory of compact groups Applications of representations of compact groups Other groups: a few examples Some useful facts Bibliography Index.
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QA387 .K69 2014  Unknown 
 Providence, Rhode Island : American Mathematical Society, [2014]
 Description
 Book — ix, 370 pages ; 26 cm.
 Summary

 J. Duncan, P. Etingof, I. Ip, M. Khovanov, M. Libine, A. Licata, A. Savage, and M. Schlosser  On the work of Igor Frenkel A. Braverman, M. Finkelberg, and J. Shiraishi  MacDonald polynomials, Laumon spaces and perverse coherent sheaves A. Braverman, H. Garland, D. Kazhdan, and M. Patnaik  An affine GindikinKarpelevich formula M. C. N. Cheng and J. F. R. Duncan  On the discrete groups of Mathieu moonshine G. Felder, D. Kazhdan, and T. M. Schlank  The classical master equation with an appendix by Tomer M. Schlank D. Gaitsgory and N. Rozenblyum  DG indschemes T. Kobayashi  Special functions in minimal representations G. Lusztig  Asymptotic Hecke algebras and involutions F. Malikov and V. Schechtman  Chiral differential operators on abelian varieties H. Nakajima  Refined ChernSimons theory and Hilbert schemes of points on the plane C. Stroppel and J. Sussan  Categorified JonesWenzl projectors: A comparison Y. Zhu  Weil representations and theta functionals on surfaces.
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QA176 .P47 2014  Unknown 
 Providence, Rhode Island : American Mathematical Society, [2014]
 Description
 Book — xi, 280 pages : illustrations ; 26 cm.
 Summary

This volume contains the proceedings of two AMS Special Sessions 'Geometric and Algebraic Aspects of Representation Theory' and 'Quantum Groups and Noncommutative Algebraic Geometry' held October 1314, 2012, at Tulane University, New Orleans, Louisiana, USA. Included in this volume are original research and some survey articles on various aspects of representations of algebras including KacMoody algebras, Lie superalgebras, quantum groups, toroidal algebras, Leibniz algebras and their connections with other areas of mathematics and mathematical physics.
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QA176 .R43 2014  Unknown 
 New York : Birkhäuser, [2014]
 Description
 Book — xxviii, 538 pages : ill. ; 25 cm.
 Summary

 Preface. Publications of Nolan R. Wallach. Unitary Hecke algebra modules with nonzero Dirac cohomology. On the nilradical of a parabolic subgroup. Arithmetic invariant theory. Structure constants of KacMoody Lie algebras. The GelfandZeitlin integrable system and Korbits on the flag variety. Diagrams of Hermitian type, highest weight modules, and syzygies of determinantal varieties. A conjecture of SakellaridisVenkatesh on the unitary spectrum of spherical varieties. Proof of the 2part compositional shuffle conjecture. On symmetric SLinvariant polynomials in four qubits. Finite maximal tori. Sums of LittlewoodRichardson coefficients and GLnharmonic polynomials. Polynomial functors and categorifications of Fock space. Pieri algebras and Hibi algebras in representation theory. Action of the conformal group on steady state solutions to Maxwell's equations and background radiation. Representations with a reduced null cone. Mseries and KloostermanSelberg zetafunctions for Rrank one groups. Ricci flow and manifolds with positive curvature. Remainder formula and zeta expression for extremal CFT partition functions. Principal series representations of infinitedimensional Lie groups, I: Minimal parabolic subgroups.
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QA174.7 .S96 S965 2014  Unknown 
 Bushnell, Colin J. (Colin John), 1947 author.
 Providence, Rhode Island : American Mathematical Society, 2014.
 Description
 Book — v, 88 pages ; 26 cm.
 Summary

 Introduction Representations of Weil groups Simple characters and tame parameters Action of tame characters Cuspidal representations Algebraic induction maps Some properties of the Langlands correspondence A naive correspondence and the Langlands correspondence Totally ramified representations Unramified automorphic induction Discrepancy at a prime element Symplectic signs Main Theorem and examples Bibliography.
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Shelved by Series title NO.1087  Unknown 