Atnaujinkite slapukų nuostatas

Physical Combinatorics [Kietas viršelis]

Edited by , Edited by
  • Formatas: Hardback, 926 pages, aukštis: 235 mm, weight: 580 g, 88 black & white illustrations, 1 black & white halftones, 87 black & white line drawings
  • Serija: Progress in Mathematics v. 191
  • Išleidimo metai: 01-Jul-2000
  • Leidėjas: Birkhauser Boston
  • ISBN-10: 0817641750
  • ISBN-13: 9780817641757
Kitos knygos pagal šią temą:
  • Formatas: Hardback, 926 pages, aukštis: 235 mm, weight: 580 g, 88 black & white illustrations, 1 black & white halftones, 87 black & white line drawings
  • Serija: Progress in Mathematics v. 191
  • Išleidimo metai: 01-Jul-2000
  • Leidėjas: Birkhauser Boston
  • ISBN-10: 0817641750
  • ISBN-13: 9780817641757
Kitos knygos pagal šią temą:
Taking into account the various criss-crossing among mathematical subject, Physical Combinatorics presents new results and exciting ideas from three viewpoints; representation theory, integrable models, and combinatorics. This work is concerned with combinatorial aspects arising in the theory of exactly solvable models and representation theory. Recent developments in integrable models reveal an unexpected link between representation theory and statistical mechanics through combinatorics.

This work is concerned with combinatorial aspects arising in the theory of exactly solvable models and representation theory. Recent developments in integrable models reveal an unexpected link between representation theory and statistical mechanics through combinatorics. For example, Young tableaux, which describe the basis of irreducible representations, appear in the Bethe Ansatz method in quantum spin chains as labels for the eigenstates for Hamiltonians.Taking into account the various criss-crossing among mathematical subject, Physical Combinatorics presents new results and exciting ideas from three viewpoints; representation theory, integrable models, and combinatorics.This volume will be of interest to mathematical physicists and graduate students in the the above-mentioned fields.Contributors to the volume: T.H. Baker, O. Foda, G. Hatayama, Y. Komori, A. Kuniba, T. Nakanishi, M. Okado, A. Schilling, J. Suzuki, T. Takagi, D. Uglov, O. Warnaar, T.A. Welsh, A. Zabrodin
Preface ix Masaki Kashiwara Tetsuji Miwa An Insertion Scheme for Cn Crystals 1(48) T. H. Baker On the Combinatorics of Forrester-Baxter Models 49(56) Omar Foda Trevor A. Welsh Combinatorial R Matrices for a Family of Crystals: Cn(1) and A2n-1(2) Cases 105(36) Goro Hatayama Atsuo Kuniba Masato Okado Taichiro Takagi Theta Functions Associated with Affine Root Systems and the Elliptic Ruijsenaars Operators 141(22) Yasushi Komori A Generalization of the g-Saalschutz Sum and the Burge Transform 163(22) Anne Schilling S. Ole Warnaar The Bethe Equation at q = 0, the Mobius Inversion Formula, and Weight Multiplicities I: The sl(2) Case 185(32) Atsuo Kuniba Tomoki Nakanishi Hidden E-Type Structures in Dilute A Models 217(32) J. Suzuki Canonical Bases of Higher-Level q-Deformed Fock Spaces and Kazhdan-Lusztig Polynomials 249(52) Denis Uglov Finite-Gap Difference Operators with Elliptic Coefficients and Their Spectral Curves 301 A. Zabrodin