Physical combinatorics
著者
書誌事項
Physical combinatorics
（Progress in mathematics, v. 191）
Birkhäuser, c2000
- : us
- : sz
大学図書館所蔵 件 / 全68件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
注記
Includes bibliographical references
"This is the proceedings of a workshop entitled "Physical Combinatorics" held in 1999 during January 29-30 at the International Institute for Advanced Studies and February 1-2 at Research Institute for Mathematical Sciences, Kyoto University" -- Pref
内容説明・目次
- 巻冊次
-
: us ISBN 9780817641757
内容説明
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
目次
Preface.-An Insertion Scheme for Cn Crystals.-On the Combinatorics of Forrester--Baxter Models.-Combinatorial R Matrices for a Family of Crystals: Cn(1) and A 2n-1(2) Cases.-Theta Functions Associated with Affine Root Systems and the Elliptic Ruijsenaars Operators.-A Generalization of the q-Saalschutz Sum and the Burge Transform.-The Bethe Equation at q=0, the Mobius Inversion Formula, and Weight Multiplicities I: The sl(2) Case.-Hidden E-Type Structures in Dilute A Models.-Canonical Basses of High-Level q-Deformed Fock Spaces and Kazhdan--Lusztig Polynomials.-Finite-Gap Difference Operators with Elliptic Coefficients and Their Spectral Curves.
- 巻冊次
-
: sz ISBN 9783764341756
内容説明
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 representation theory and statistical mechanics through combinatorics.
目次
- An insertion scheme for SC-n$ crystals, T.H. Baker
- on the combinators of Forrester-Baxter models, O. Foda, T.A. Welsh
- theta functions associated with affine root systems and the elliptic Ruijsenaara operators, Y. Komori
- Bethe equation at Sq-OS. M\obious inversion formula, and weight multiplicities, A. Kuniba, T. Nakanishi
- a generalisation of the SqS-Saalsch"utz sum and the Burge transform, A. Schilling, O. Warnaar
- hidden E type structures in dilute A models, J. Suzuki
- canonical bases of higher-level q-deformed Fock spaces and Kazhdab-Lusztig polynomials, P. Uglov
- finite-gap difference operators with elliptic coefficients and their spectral curves, A. Zabrodin. (Part contents).
「Nielsen BookData」 より
