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

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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. The 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.
 

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Contents

Modular representation theory of Hecke algebras a survey
1
An application of free Lie algebras to polynomial current algebras and their representation theory
15
Canonical basic sets for Hecke algebras
33
On Universal Central Extensions of slnA
43
Pseudoderivations pseudoautomorphisms and simple current modules for vertex algebras
55
Hilbert scheme intersection numbers Hurwitz numbers and GromovWitten invariants
67
On Demazure crystals for UqD34
83
Populations of solutions of the X X X Bethe equations associated to KacMoody algebras
95
Representations of rational Cherednik algebras
103
extension to the nonsimply laced case
133
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