Physical Combinatorics: v. 191 (Progress in Mathematics) - Hardcover

Hardcover

ISBN 10: 0817641750 ISBN 13: 9780817641757

Verlag: Birkhäuser, 2000

Inhaltsangabe

An Insertion Scheme for Cn Crystals.- On the Combinatorics of Forrester-Baxter Models.- Combinatorial R Matrices for a Family of Crystals: Cn(1) and A2n-1(2) Cases.- Theta Functions Associated with Affine Root Systems and the Elliptic Ruijsenaars Operators.- A Generalization of the q-Saalschütz Sum and the Burge Transform.- The Bethe Equation at q = 0, the Möbius Inversion Formula, and Weight Multiplicities I: The sl(2) Case.- Hidden E-Type Structures in Dilute A Models.- Canonical Bases of Higher-Level q-Deformed Fock Spaces and Kazhdan-Lusztig Polynomials.- Finite-Gap Difference Operators with Elliptic Coefficients and Their Spectral Curves.

Über diesen Titel

Reseña del editor

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

Biografía del autor

Masaki Kashiwara Professor at the Rims, Kyoto University
Plenary speaker ICM 1978
Invited speaker ICM 1990
http: //www.kurims.kyoto-u.ac.jp/~kenkyubu/kashiwara/

Pierre Schapira, Professor at University Pierre et Marie Curie (Paris VI)
Invited speaker ICM 1990
http: //www.math.jussieu.fr/~schapira/

Kashiwara, Kyoto University, Kyoto, Japan.

Miwa, Kyoto University, Kyoto, Japan.

Masaki Kashiwara Professor at the Rims, Kyoto University
Plenary speaker ICM 1978
Invited speaker ICM 1990
http: //www.kurims.kyoto-u.ac.jp/~kenkyubu/kashiwara/

Pierre Schapira, Professor at University Pierre et Marie Curie (Paris VI)
Invited speaker ICM 1990
http: //www.math.jussieu.fr/~schapira/

Details zur Ausgabe

• Verlag: Birkhäuser
• Erscheinungsdatum: 2000
• Sprache: Englisch
• ISBN 10: 0817641750
• ISBN 13: 9780817641757
• Einband: Tapa dura
• Anzahl der Seiten: 332
• Herausgeber: Kashiwara Masaki, Miwa Tetsuji
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Buchpark GmbH; gpsr@buchpark.de; ; Krügerweg 1; Trebbin; Brandenburg; 14959; Deutschland