Published by American Mathematical Society, 1994

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Brand new. We distribute directly for the publisher. 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. Bookseller Inventory #

**Synopsis:** 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.

Title: **Algebraic Analysis of Solvable Lattice ...**

Publisher: **American Mathematical Society**

Publication Date: **1994**

Binding: **Paperback**

Book Condition: **New**

Published by
American Mathematical Society

ISBN 10: 0821803204
ISBN 13: 9780821803202

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**Book Description **American Mathematical Society. Book Condition: Good. Ex-library, so some stamps and wear, and may have sticker on cover, but in good overall condition. Bookseller Inventory # Z1-I-031-01013

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Published by
American Mathematical Society
(1994)

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ISBN 13: 9780821803202

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**Book Description **American Mathematical Society, 1994. PAP. Book Condition: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Bookseller Inventory # CE-9780821803202

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Published by
American Mathematical Society, United States
(1995)

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ISBN 13: 9780821803202

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**Book Description **American Mathematical Society, United States, 1995. Paperback. Book Condition: New. Language: English . Brand New Book. 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. Bookseller Inventory # AAN9780821803202

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Published by
American Mathematical Society, United States
(1995)

ISBN 10: 0821803204
ISBN 13: 9780821803202

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Paperback
Quantity Available: 1

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**Book Description **American Mathematical Society, United States, 1995. Paperback. Book Condition: New. Language: English . Brand New Book. 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. Bookseller Inventory # AAN9780821803202

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Published by
Amer Mathematical Society
(1994)

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ISBN 13: 9780821803202

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**Book Description **Amer Mathematical Society, 1994. Paperback. Book Condition: Brand New. first edition, edition. 152 pages. 10.00x7.25x0.25 inches. In Stock. Bookseller Inventory # __0821803204

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Published by
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(1994)

ISBN 10: 0821803204
ISBN 13: 9780821803202

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**Book Description **American Mathematical Society, 1994. Paperback. Book Condition: Very Good. Great condition with minimal wear, aging, or shelf wear. Bookseller Inventory # P020821803204

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Published by
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(1994)

ISBN 10: 0821803204
ISBN 13: 9780821803202

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**Book Description **American Mathematical Society, 1994. Paperback. Book Condition: New. Never used!. Bookseller Inventory # P110821803204

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Published by
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(1994)

ISBN 10: 0821803204
ISBN 13: 9780821803202

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**Book Description **American Mathematical Society, 1994. Paperback. Book Condition: Good. First Edition, First Printing. Ships with Tracking Number! INTERNATIONAL WORLDWIDE Shipping available. May not contain Access Codes or Supplements. Buy with confidence, excellent customer service!. Bookseller Inventory # 0821803204

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Published by
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(1994)

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ISBN 13: 9780821803202

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**Book Description **American Mathematical Society, 1994. Paperback. Book Condition: New. First Edition, First Printing. Ships with Tracking Number! INTERNATIONAL WORLDWIDE Shipping available. Buy with confidence, excellent customer service!. Bookseller Inventory # 0821803204n

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