Noncommutative birational geometry, representations and combinatorics : AMS Special Session on Noncommutative Birational Geometry, Representations and Cluster Algebras, January 67, 2012, Boston, MA
 Responsibility
 Arkady Berenstein, Vladimir Retakh, editors.
 Language
 English.
 Publication
 Providence, Rhode Island : American Mathematical Society, [2013]
 Physical description
 ix, 250 pages : illustrations ; 26 cm.
 Series
 Contemporary mathematics (American Mathematical Society) v. 592.
Access
Available online
Science Library (Li and Ma)
Stacks
Call number  Status 

QA176 .A476 2012  Unknown 
More options
Creators/Contributors
Contents/Summary
 Bibliography
 Includes bibliographical references.
 Contents

 Table of Contents:* The number of right ideals of given codimension over a finite field by R. Bacher and C. Reutenauer * Cocycle twists and extensions of braided doubles by Y. Bazlov and A. Berenstein * Quantum Chevalley groups by A. Berenstein and J. Greenstein * The reciprocal of $\Sigma_{n\geq 0}a^nb^n$ for noncommuting $a$ and $b_1$, Catalan numbers and noncommutative quadratic equations by A. Berenstein, V. Retakh, C. Reutenauer, and D. Zeilberger * Semiinvariants for gentle algebras by A. Carroll and J. Weyman * Monodromy of the trigonometric Casimir connection for $\mathfrak{sl}_2$ by S. Gautam and V. T. Laredo * Rational series in the free group and the Connes operator by A. Lauve and C. Reutenauer * On natural maps from strata of quiver Grassmannians to ordinary Grassmannians by K. Lee and L. Li Properties of a minimal nonKoszul $A(\Gamma)$ by D. Nacin * Double Poisson brackets on free associative algebras by A. Odesskii, V. Rubtsov, and V. Sokolov * Generalizing the notion of rank to noncommutative quadratic forms by M. Vancliff and P. P. Veerapen.
 (source: Nielsen Book Data)9780821889800 20160612
 Publisher's Summary
 This volume contains the proceedings of the AMS Special Session on Noncommutative Birational Geometry, Representations and Cluster Algebras, held from January 67, 2012, in Boston, MA. The papers deal with various aspects of noncommutative birational geometry and related topics, focusing mainly on structure and representations of quantum groups and algebras, braided algebras, rational series in free groups, Poisson brackets on free algebras, and related problems in combinatorics. This volume is useful for researchers and graduate students in mathematics and mathematical physics who want to be introduced to different areas of current research in the new area of noncommutative algebra and geometry.
(source: Nielsen Book Data)9780821889800 20160612
Subjects
 Subject
 Quantum groups > Congresses.
 Rings (Algebra) > Congresses.
 Free algebras > Congresses.
 Nonassociative rings and algebras  Lie algebras and Lie superalgebras  Quantum groups (quantized enveloping algebras) and related deformations.
 Associative rings and algebras  Representation theory of rings and algebras  None of the above, but in this section.
 Associative rings and algebras  Hopf algebras, quantum groups and related topics  Connections with combinatorics.
 General algebraic systems  Varieties  Free algebras.
 Combinatorics  Algebraic combinatorics  Combinatorial aspects of representation theory.
Bibliographic information
 Publication date
 2013
 Series
 Contemporary mathematics ; volume 592
 ISBN
 9780821889800 (pbk. : acidfree paper)
 082188980X (pbk. : acidfree paper)