Physics And Combinatorics, Procs Of The Nagoya 2000 Intl WorkshopAnatol N Kirillov, Nadejda Liskova 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
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 |
Common terms and phrases
action affine symmetric group bijection birational C²n Calogero Calogero-Moser models character cocharge coefficients combinatorial compute conjecture conserved quantities Corollary Coxeter group decomposition definition Dehn twist denote equation explicit formula gamma function Gelfand-Tsetlin given Green functions Grothendieck polynomials GT-patterns Hamiltonian Hilbert scheme homomorphism integer inverse involution isomorphism Kirillov Lascoux Laurent's polynomial Lax pair Lemma Lett Lie algebra Lusztig Macdonald polynomials Math matrix monomial multiple gamma function N₁ obtain operators permutation Phys piece-wise linear potential proof Proposition rational recursion relation representation restricted partition function Robinson-Schensted-Knuth correspondence root systems satisfy Schubert Schubert polynomials Schur functions Schützenberger Section semistandard Young tableaux space of triangles statistics symmetric functions symmetric group Teichmüller theory Theorem theory transformations triangles Xn Tropical image tropical version variables vector weight Weyl group Xq,t Young tableaux