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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 |
MARC
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| 008 | 140501s2001 si o 000 0 eng d | ||
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| 050 | 4 | |a QA164 .K75 2001 | |
| 082 | 0 | 4 | |a 511.6 |
| 049 | |a UAMI | ||
| 100 | 1 | |a Kirillov, Anatol N. | |
| 245 | 1 | 0 | |a Physics and Combinatorics : |b Proceedings of the Nagoya 1999 International Workshop, Nagoya University, Japan, 23-27 August 1999. |
| 260 | |a Singapore : |b World Scientific Publishing Company, |c 2001. | ||
| 300 | |a 1 online resource (408 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 588 | 0 | |a Print version record. | |
| 520 | |a 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. Contents: Monodromy Problem Related to Wu-Sutherland Equations (K Aomoto); Quantum Integrable Lattice Field Theory and Quan. | ||
| 505 | 0 | |a 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 | |
| 505 | 8 | |a 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 | |
| 505 | 8 | |a 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 | |
| 505 | 8 | |a 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 | |
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Combinatorial analysis |v Congresses. | |
| 650 | 0 | |a Mathematical physics |v Congresses. | |
| 650 | 0 | |a Statistical physics |v Congresses. | |
| 650 | 6 | |a Analyse combinatoire |v Congrès. | |
| 650 | 6 | |a Physique mathématique |v Congrès. | |
| 650 | 6 | |a Physique statistique |v Congrès. | |
| 650 | 7 | |a Combinatorial analysis |2 fast | |
| 650 | 7 | |a Mathematical physics |2 fast | |
| 650 | 7 | |a Statistical physics |2 fast | |
| 655 | 7 | |a Conference papers and proceedings |2 fast | |
| 700 | 1 | |a Tsuchiya, Akihiro. | |
| 700 | 1 | |a Umemura, Hiroshi. | |
| 758 | |i has work: |a Physics and Combinatorics (Text) |1 https://id.oclc.org/worldcat/entity/E39PCH3ccWV9YYkGjRhdrpd6Gb |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |z 9789810245788 |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=1681029 |z Texto completo |
| 938 | |a ProQuest Ebook Central |b EBLB |n EBL1681029 | ||
| 994 | |a 92 |b IZTAP | ||