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Physical Combinatorics de Masaki Kashiwara

Physical Combinatorics: Progress in Mathematics, cartea 191

Editat de Masaki Kashiwara, Tetsuji Miwa
en Limba Engleză Paperback – 15 oct 2012
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
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Specificații

ISBN-13: 9781461271215
ISBN-10: 1461271215
Pagini: 332
Ilustrații: IX, 317 p.
Dimensiuni: 155 x 235 x 25 mm
Greutate: 0.47 kg
Ediția:Softcover reprint of the original 1st ed. 2000
Editura: Birkhäuser Boston
Colecția Birkhäuser
Seria Progress in Mathematics

Locul publicării:Boston, MA, United States

Public țintă

Research

Cuprins

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.

Textul de pe ultima copertă

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

Descriere

Descriere de la o altă ediție sau format:
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.