Geometric Analysis and Lie Theory in Mathematics and Physics

by Edited by Alan L. Carey , Michael K. Murray

• ISBN13: 9780521624909
• ISBN10: 0521624908
• Format: Paperback
• Copyright: 1997-11-13
• Publisher: Cambridge University Press

Summary

This book brings together a selection of the best lectures from many graduate workshops held at the Australian National Institute for Theoretical Physics in Adelaide. The lectures presented here describe subjects currently of great interest, generally at the interface between mathematics and physics, and also where suitable expositions did not previously exist at a level suitable for graduate students. Topics covered include quantum groups, the operator algebra approach to the integer quantum Hall effect, solvable lattice models and Hecke algebras, Yangevins, equivariant cohomology and symplectic geometry, and von Neumann invariants of covering spaces.

Table of Contents

CHAPTER 1 Applications of equivariant cohomology to symplectic geometry and moduli spaces	1	(19)
Lisa C. Jeffrey
Frances C. Kirwan
CHAPTER 2 Quantum groups: A survey of definitions, motivations, and results	20	(85)
Arun Ram
CHAPTER 3 Spinon decomposition and Yangian structure of Sl(n) modules	105	(27)
Peter Bouwknegt
Kareljan Schoutens
CHAPTER 4 Geometry and the Integer Quantum Hall Effect	132	(77)
Paul J. McCann
CHAPTER 5 L(2) invariants of covering spaces	209	(34)
Varghese Mathai
CHAPTER 6 Combinatorics of solvable lattice models, and modular representations of Hecke algebras	243
O. Foda
B. Leclerc
M. Okado
J.-Y. Thibon
T.A. Welsh