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Physical combinatorics

Author: Masaki Kashiwara; T Miwa
Publisher: Boston : Birkhäuser, ©2000.
Series: Progress in mathematics (Boston, Mass.), v. 191.
Edition/Format:   Print book : Conference publication : EnglishView all editions and formats
Summary:
"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
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Genre/Form: Kongress
Conference papers and proceedings
Kioto (1999)
Congresses
Additional Physical Format: Online version:
Physical combinatorics.
Boston : Birkhäuser, ©2000
(OCoLC)806180261
Material Type: Conference publication, Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Masaki Kashiwara; T Miwa
ISBN: 0817641750 9780817641757 3764341750 9783764341756
OCLC Number: 43859489
Description: viii, 317 pages : illustrations ; 24 cm.
Contents: An insertion scheme for C[subscript n] crystals / T.H. Baker --
On the combinatorics of Forrester-Baxter models / Omar Foda and Trevor A. Welsh --
Combinatorial R matrices for a family of crystals : C⁽¹⁾[subscript n] and A⁽²⁾[subscript 2n-1] cases / Goro Hatayama [and others] --
Theta functions associated with affine root systems and the elliptic Ruijsenaars operators / Yasushi Komori --
A generalization of the q-Saalschütz sum and the Burge transform / Anne Schilling and S. Ole Warnaar --
The Bethe equation at q=0, the Möbius inversion formula, and weight multipicities I : the sl(2) case / Atsuo Kuniba and Tomoki Nakanishi --
Hidden E-type structures in dilute A models / J. Suzuki --
Canonical bases of higher-level q-deformed Fock spaces and Kazhdan-Lusztig polynomials / Denis Uglov --
Finite-gap difference operators with elliptic coefficients and their spectral curves / A. Zabrodin.
Series Title: Progress in mathematics (Boston, Mass.), v. 191.
Responsibility: Masaki Kashiwara, Tetsuji Miwa, editors.

Abstract:

This work is concerned with combinatorial aspects arising in the theory of exact solvable models and representing theory. Recent developments in integrable models reveal an unexpected link between  Read more...

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