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Author International Workshop on Physics and Combinatorics (1st : 1999 : Nagoya University)

Title Physics and combinatorics 1999 : procceedings [i.e. proceedings] of the Nagoya 1999 International Workshop, Graduate School of Mathematics, Nagoya University / editors, Anatol N. Kirillov, Akihiro Tsuchiya & Hiroshi Umemura
Published Singapore ; River Edge, NJ : World Scientific, ©2001


Description 1 online resource (viii, 398 pages) : illustrations
Contents Monodromy problem related to Wu-Sutherland equations / Kazuhiko Aomoto -- A remark on the Harish-Chandra series for hyperboloids / Jan Felipe Van Diejen and Anatol N. Kirillov -- Quantum integrable lattice field theory and quantum dilogarithm function / 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 / Kazumoto Iguchi -- Symmetric spaces over finite fields, Frobenius-Schur indices, and symmetric function identities / Noriaki Kawanaka -- Ubiquity of Kostka polynomials / Anatol N. Kirillov -- Transformations of U(n + 1) multiple basic hypergeometric series / Stephen C. Milne -- Kashaev's invariant and the volume of a hyperbolic knot after Y. Yokota / Hitoshi Murakami -- Integral solutions of hypergeometric q-difference systems with with [symbol] = 1 / Michitomo Nishizawa and Kimio Ueno -- Birational Weyl group action arising from a nilpotent poisson algebra / Masatoshi Noumi and Yasuhiko Yamada -- Painleve equations and deformations of rational surfaces with rational double points / Masa-Hiko Saito and Hiroshi Umemura -- Representation of Umemura polynomials for the sixth painleve equation by the generalized Jacobi polynomials / Makoto Taneda -- Two relations that generalize the g-serre relations and the Dolan-Grady relations / Paul Terwilliger
Summary This volume contains research and review papers on different branches of mathematics and mathematical physics, written by the leading specialists. Among the contributed papers are articles on: (i) multiple basic hypergeometric functions with applications to the number theory, (ii) birational representations of affine Weyl groups with applications to discrete integrable systems, (iii) algebraic geometry and Painleve VI, and (iv) combinatorics of Kostka-Foulkes polynomials
Notes Held August 23-27, 1999
Bibliography Includes bibliographical references
Notes English
Print version record
Subject Combinatorial analysis -- Congresses
Mathematical physics -- Congresses
Statistical physics -- Congresses
MATHEMATICS -- Combinatorics.
Combinatorial analysis
Mathematical physics
Statistical physics
Genre/Form Conference papers and proceedings
Form Electronic book
Author Kirillov, Anatol N.
Tsuchiya, A. (Akihiro), 1943-
Umemura, Hiroshi, 1944-2019
ISBN 9789812810199