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ePub Algebraic Analysis of Solvable Lattice Models (Cbms Regional Conference Series in Mathematics) download

by Michio Jimbo and Tetsuji Miwa

ePub Algebraic Analysis of Solvable Lattice Models (Cbms Regional Conference Series in Mathematics) download
Author:
Michio Jimbo and Tetsuji Miwa
ISBN13:
978-0821803202
ISBN:
0821803204
Language:
Publisher:
American Mathematical Society; First Edition, First Printing edition (December 28, 1994)
Category:
Subcategory:
Engineering
ePub file:
1523 kb
Fb2 file:
1517 kb
Other formats:
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Rating:
4.7
Votes:
557

Based on the NSF-CBMS Regional Conference lectures presented by Miwa in June 1993, this book surveys recent developments in the interplay between solvable lattice models in statistical mechanics and representation theory of quantum affine algebras.

Based on the NSF-CBMS Regional Conference lectures presented by Miwa in June 1993, this book surveys recent developments in the interplay between solvable lattice models in statistical mechanics and representation theory of quantum affine algebras.

Start by marking Algebraic Analysis of Solvable Lattice Models

Start by marking Algebraic Analysis of Solvable Lattice Models. as Want to Read: Want to Read savin. ant to Read. Based on the NSF-CBMS Regional Conference lectures presented by Miwa in June 1993, this book surveys recent developments in the interplay between solvable lattice models in statistical mechanics and representation theory of quantum affine algebras.

oceedings{, title {Algebraic Analysis of Solvable Lattice Models. author {Michio Jimbo and Tetsuji Miwa}, year {1994} }. Michio Jimbo, Tetsuji Miwa.

Algebraic Analysis of Solvable Lattice Models, volume 85 of CBMS Regional Conference Series in. .Quantum symmetries in solvable lattice models. In Proceeding of Les Houches Summer School, 1995. 8. A. H. Bougourzi and R. Weston.

Algebraic Analysis of Solvable Lattice Models, volume 85 of CBMS Regional Conference Series in Mathematics. So. Providence, RI, 1995. 2. B. Davies, O. Foda, M. Jimbo, T. Miwa, and A. Nakayashiki. N-point correlation functions of the spin-1 XXZ model.

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Series: Regional conference series in mathematics 8. Primary 17B37, 81R50, 82B20, 82B23. bibfary of Congress ation Data Jimbo, M. ^Michio) Algebraic analysis of solvable lattice models/Michio Jimbo, Tetsuji Miwa.

Primary 17B37, 81R50, 82B20, 82B23. p., cm. - (Regional conference series in mathematics, ISSN 0160-7642; no. 85) ";.

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Based on the NSF-CBMS Regional Conference lectures presented by Miwa in June 1993, this book surveys recent developments in the interplay between solvable lattice models in statistical mechanics and representation theory of quantum affine algebras. Because results in this subject were scattered in the literature, this book fills the need for a systematic account, focusing attention on fundamentals without assuming prior knowledge about lattice models or representation theory. After a brief account of basic principles in statistical mechanics, the authors discuss the standard subjects concerning solvable lattice models in statistical mechanics, the main examples being the spin $1/2$ XXZ chain and the six-vertex model. The book goes on to introduce the main objects of study, the corner transfer matrices and the vertex operators, and discusses some of their aspects from the viewpoint of physics. Once the physical motivations are in place, the authors return to the mathematics, covering the Frenkel-Jing bosonization of a certain module, formulas for the vertex operators using bosons, the role of representation theory, and correlation functions and form factors. The limit of the $XXX$ model is briefly discussed, and the book closes with a discussion of other types of models and related works.