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Algebraic analysis of solvable lattice models

โœ Scribed by Michio Jimbo and Tetsuji Miwa

Publisher
Published for the Conference Board of the Mathematical Sciences by the American Mathematcal Society
Year
1995
Tongue
English
Leaves
83
Series
Regional conference series in mathematics 85
Category
Library
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โœฆ Synopsis

Surveys recent development on the interplay between solvable lattice models in statistical mechanics and representation theory of quantum affine algebras. Assumes no prior knowledge of lattice models and representation theory. Uses the spin 1/2 XXZ chain and the six-vertex model as examples, and discusses the Yang-Baxter equation, corner transfer matrices, vertex operators, and the Frenkel-Jing bosonization of the level 1 module. No index. Annotation copyright Book News, Inc. Portland, Or.

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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 t