Infinite-Dimensional Aspects of Representation Theory and Applications

International Conference on Infinite-Dimensional Aspects of Representation Theory and Applications May 18-22, 2004 University of Virginia Charlottesville, Virginia

Stephen Berman, Brian Parshall, Leonard Scott, Weiqiang Wang - Collection Contemporary Mathematics

154 pages, parution le 26/01/2006

Ajouter à une liste

Indisponible

Résumé

The University of Virginia (Charlottesville) hosted an international conference on Infinite-dimensional Aspects of Representation Theory and Applications. This volume contains papers resulting from the mini-courses and talks given at the meeting.

Beyond the techniques and ideas related to representation theory, the book demonstrates connections to number theory, algebraic geometry, and mathematical physics. Specific topics covered include Hecke algebras, quantum groups, infinite-dimensional Lie algebras, quivers, modular representations, and Gromov-Witten invariants.

The book is suitable for graduate students and researchers interested in representation theory.

Sommaire

Modular representation theory of Hecke algebras, a survey
An application of free Lie algebras to polynomial current algebras and their representation theory
Canonical basic sets for Hecke algebras
On Universal Central Extensions of sl_n(A)
Pseudoderivations, pseudoautomorphisms and simple current modules for vertex algebras
Hilbert scheme intersection numbers, Hurwitz numbers, and Gromov-Witten invariants
On Demazure crystals for U_q(D⁴₃ )
Populations of solutions of the XXX Bethe equations associated to Kac-Moody algebras
Representations of rational Cherednik algebras
A geometric construction of crystal graphs using quiver varieties: extension to the non-simply laced case

Voir tout

Replier

Caractéristiques techniques

	PAPIER
Éditeur(s)	American Mathematical Society (AMS)
Auteur(s)	Stephen Berman, Brian Parshall, Leonard Scott, Weiqiang Wang
Collection	Contemporary Mathematics
Parution	26/01/2006
Nb. de pages	154
Format	17,5 x 25
Couverture	Broché
Poids	320g
Intérieur	Noir et Blanc
EAN13	9780821837016
ISBN13	978-0-8218-3701-6