Physics and Combinatorics : Proceedings of the Nagoya 1999 International Workshop, Nagoya University, Japan, 23-27 August 1999

by Kirillov, Anatol N.; Tsuchiya, Akihiro; Umemura, Hiroshi, Ph.D.; International Workshop on Physics and Combinatorics (1st : 1999 : Nagoya University); Tsuchiya, Akihiro

• ISBN13: 9789810245788
• ISBN10: 9810245785
• Format: Hardcover
• Copyright: 2001-04-01
• Publisher: WORLD SCIENTIFIC PUB CO INC

Summary

Proceedings of the Nagoya 1999 International Workshop Physics and Combinatorics 1999, held at Nagoya University, Japan, August 23-27, 1999. Examples of ideas and techniques discussed include rigged configurations and new combinatorics of Young Tableaux, and q-characters of representations of quantum affine algebras.

Table of Contents

Preface	v
Monodromy Problem Related to Wu-Sutherland Equations	1	(10)
Kazuhiko Aomoto
A Remark on the Harish-Chandra Series for Hyperboloids	11	(5)
Jan Felipe Van Diejen
Anatol N. Kirillov
Quantum Integrable Lattice Field Theory and Quantum Dilogarithm Function	16	(14)
Kazuhiro Hikami
A Theory of Interacting Many-Body Systems with Exclusion Statistics: Origin of Exclusion Statistics: Haldane Liquids. Sutherland-Wu Equations, Grand Partition Function and Lee-Yang Theorem	30	(40)
Kazumoto Iguchi
Symmetric Spaces over Finite Fields, Frobenius-Schur Indices, and Symmetric Function Identities	70	(15)
Noriaki Kawanaka
Ubiquity of Kostka Polynomials	85	(116)
Anatol N. Kirillov
Transformations of U(n + 1) Multiple Basic Hypergeometric Series	201	(43)
Stephen C. Milne
Kashaev's Invariant and the Volume of a Hyperbolic Knot after Y. Yokota	244	(29)
Hitoshi Murakami
Integral Solutions of Hypergeometric q-Difference Systems with |q| = 1	273	(14)
Michitomo Nishizawa
Kimio Ueno
Birational Weyl Group Action Arising from a Nilpotent Poisson Algebra	287	(33)
Masatoshi Noumi
Yasuhiko Yamada
Painleve Equations and Deformations of Rational Surfaces with Rational Double Points	320	(46)
Masa-Hiko Saito
Hiroshi Umemura
Representation of Umemura Polynomials for the Sixth Painleve Equation by the Generalized Jacobi Polynomials	366	(11)
Makoto Taneda
Two Relations that Generalize the q-Serre Relations and the Dolan-Grady Relations	377
Paul Terwilliger