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Physics and Combinatorics : Proceedings of the Nagoya 1999 International Workshop, Nagoya University, Japan, 23-27 August 1999.
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 represe...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Singapore :
World Scientific Publishing Company,
2001.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Preface; CONTENTS; Monodromy Problem Related to Wu-Sutherland Equations; 1 Local Solutions to Wu-Sutherland Equations; 2 The analytic continuation and the monodromy problem; References; A Remark on the Harish-Chandra Series for Hyperboloids; References; Quantum Integrable Lattice Field Theory and Quantum Dilogarithm Function; 1 Introduction; 2 Quantum Dilogarithm Function I; 3 Lattice SG System; 4 Affine Toda Lattice Field Theory; 5 Quantum Dilogarithm Function II; 6 Lattice SG System Revisited; 7 Dual Affine Toda Lattice System; 8 Concluding Remarks; Acknowledgement; References
- 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 Theorem1 Introduction; 2 Origin of Exclusion statistics; 3 Haldane liquids; 4 Sutherland-Wu equations; 5 Basic Properties of the Haldane Liquid; 6 Thermodynamics and the Cluster Expansions; 7 Grand Partition Function; 8 Grand Partition Function in the Momentum Representation; 9 Lee-Yang Theorem; 10 Duality; 11 conclusion; Acknowledgments; References
- Symmetric Spaces over Finite Fields Frobenius-Schur Indices and Symmetric Function Identities1 Introduction; 2 Frobenius character formula and its variations; 3 Finite symmetric spaces and Hall-Littlewood symmetric functions; 4 Symmetric groups; 5 Imprimitive complex reflection groups; 6 Inner products; References; Ubiquity of Kostka Polynomials; 1 Introduction; 2 Kostka-Foulkes polynomials and weight multiplicities; 3 Parabolic Kostka polynomials; 4 Fermionic formula for parabolic Kostka polynomials; 5 Generalized exponents and mixed tensor representations
- 6 Internal product of Schur functions7 Liskova semigroup; 8 Stable behavior of Kostka-Foulkes polynomials; References; Transformations of U(n + 1) Multiple Basic Hypergeometric Series; 1 Introduction; 2 Background and notation; 3 A U(n + 1) extension of the g-binomial theorem; 4 U(n + 1) extensions of the 60s summation theorem; 5 Definitions of An Cn and Dn multiple q-series; 6 The U(n + 1) (matrix) Bailey Transform; 7 The U(n + 1) Bailey Lemma; 8 The U(n + 1) (classical) Bailey Transform; 9 A U(n + 1) extension of the 10O9 transformation; 10 New infinite families of eta function identities