**Contemporary Mathematics**

Volume: 392;
2005;
154 pp;
Softcover

MSC: Primary 14; 16; 17; 20; 82;

Print ISBN: 978-0-8218-3701-6

Product Code: CONM/392

List Price: $57.00

AMS Member Price: $45.60

MAA Member Price: $51.30

**Electronic ISBN: 978-0-8218-7982-5
Product Code: CONM/392.E**

List Price: $57.00

AMS Member Price: $45.60

MAA Member Price: $51.30

# Infinite-Dimensional Aspects of Representation Theory and Applications

Share this page *Edited by *
*Stephen Berman; Brian Parshall; Leonard Scott; Weiqiang Wang*

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.

#### Readership

Graduate students and research mathematicians interested in representation theory.

# Table of Contents

## Infinite-Dimensional Aspects of Representation Theory and Applications

- Contents v6 free
- Modular representation theory of Hecke algebras, a survey 110 free
- An application of free Lie algebras to polynomial current algebras and their representation theory 1524
- Canonical basic sets for Hecke algebras 3342
- On Universal Central Extensions of sln(A) 4352
- Pseudoderivations, pseudoautomorphisms and simple current modules for vertex algebras 5564
- Hilbert scheme intersection numbers, Hurwitz numbers, and Gromov-Witten invariants 6776
- On Demazure crystals for Uq(D(3)4) 8392
- Populations of solutions of the X X X Bethe equations associated to Kac-Moody algebras 95104
- Representations of rational Cherednik algebras 103112
- A geometric construction of crystal graphs using quiver varieties: extension to the non-simply laced case 133142