Physics And Combinatorics, Procs Of The Nagoya 2000 Intl Workshop

Front Cover
Anatol N Kirillov, Nadejda Liskova
World Scientific, Apr 19, 2001 - Science - 328 pages
The Nagoya 2000 International Workshop gathered together a group of scientists actively working in combinatorics, representation theory, special functions, number theory and mathematical physics, to acquaint the participants with some basic results in their fields and to discuss existing and possible interactions between the mentioned subjects. This volume constitutes the proceedings of the workshop.
 

Contents

Vanishing Theorems and Character Formulas for the Hilbert Scheme of Points in the Plane
1
Exclusion Statistics and Chiral Partition Function
22
Forresters Constant Term Conjecture and its qanalogue
49
On the Spectrum of Dehn Twists in Quantum Teichmuller Theory
63
Introduction to Tropical Combinatorics
82
Bethes States for Generalized XXX and XXZ models
151
Transition on Grothendieck Polynomials
164
Tableau Representation for Macdonalds Ninth Variation of Schur Functions
180
Tanalogue of the qcharacters of Finite Dimensional Representations of Quantum Affine Algebras ...
196
Generalized Holders Theorem for Multiple Gamma Function
220
Complete Integrability for All the Root Systems
233
Green Functions Associated to Complex Reflection Groups Ge 1 n
281
Simplification of Thermodynamic BetheAnsatz Equations
299
A Birational Representation of Weyl Group Combinatorial Rmatrix and Discrete Toda Equation ...
305
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