This volume will be the first reference book devoted specially to the Yang-Baxter equation. The subject relates to broad areas including solvable models in statistical mechanics, factorized S matrices, quantum inverse scattering method, quantum groups, knot theory and conformal field theory. The articles assembled here cover major works from the pioneering papers to classical Yang-Baxter equation, its quantization, variety of solutions, constructions and recent generalizations to higher genus solutions.
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Editorial Reviews
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"The collection serves a dual purpose: it provides the physicist or mathematician who works in a different field with an overview of the subject; furthermore, it provides those who work in the subject with a compendium of basic references put conveniently together in one volume." Mathematical Reveiws, 1991 "Thus the book gives a good survey of results in one of the hottest points of mathematical physics from the first hands." Mathematics Abstracts, 1992 "The second volume is such an excellent, representative collection of articles on the very rich field centered around the Yang-Baxter equation that is should have its place on the shelves of every good library. It is also warmly recommended for people wishing to join this active research area as well as for those who just want to learn the main developments." Acta Sci. Math. (Szeged), 1993
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First Sentence:
At an early stage the Yang-Baxter equation (YBE) appeared in several different guises in the literature, and sometimes its solutions have preceded the equation. Read the first page Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Academic Press, Leningrad Branch, Soviet Math, Australian National University, Stony Brook, Kyoto University, Uspekhi Mat, Functional Anal, Okado Proof, Plenum Publishing Corporation, Quantization of Lie Groups, Received March, Research School of Physical Sciences, Annals of Physics, Elsevier Science Publishers, Funktsional'nyi Analiz, Summary of Poisson, Ego Prilozheniya, Funktsional Anal, Korteweg-de Vries, Mathematics Subject Classification, N-particle S-matrix, Nuovo Cimento, Pure Math New!
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Front Cover | Table of Contents | First Pages | Back Cover | Surprise Me!
At an early stage the Yang-Baxter equation (YBE) appeared in several different guises in the literature, and sometimes its solutions have preceded the equation. Read the first page Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Academic Press, Leningrad Branch, Soviet Math, Australian National University, Stony Brook, Kyoto University, Uspekhi Mat, Functional Anal, Okado Proof, Plenum Publishing Corporation, Quantization of Lie Groups, Received March, Research School of Physical Sciences, Annals of Physics, Elsevier Science Publishers, Funktsional'nyi Analiz, Summary of Poisson, Ego Prilozheniya, Funktsional Anal, Korteweg-de Vries, Mathematics Subject Classification, N-particle S-matrix, Nuovo Cimento, Pure Math New!
Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Back Cover | Surprise Me!
Citations (learn more)
This book cites 22
books:
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14
books
cite this book:
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- Exactly Solved Models in Statistical Mechanics by B. J. Baxter on page 308, page 690, and Back Matter
- Exactly Solved Models in Statistical Mechanics by R.J. Baxter on page 308, page 690, and Back Matter
- Infinite-Dimensional Lie Algebras by Victor G. Kac in Front Matter, page 298, and page 614
- Index, Volume 20 (Phase Transitions and Critical Phenomena) by Cyril Domb on page 341, and page 342
- Hamiltonian Methods in the Theory of Solitons (Springer Series in Soviet Mathematics) by L. D. Faddeev on page 309
See all 22 books this book cites
- Jingshin Theoretical Physics Symposium in Honor of Prof Ta-You Wu by Jong-Ping Hsu on page 195
- Knots and Physics (Series on Knots and Everything) by Louis H. Kauffman in Back Matter
- Quantum Integrable Systems (Chapman & Hall/CRC Research Notes in Mathematics Series) by Asesh Roy Chowdhury in Back Matter
- Classical and Quantum Nonlinear Integrable Systems: Theory and Application (Series in Mathematical and Computational Physics) by A Kundu on page 142
- Quantum Many-Body Systems in One Dimension (Series on Advances in Statistical Mechanics) by Zachary Nyong-Chol Ha in Back Matter
See all 14 books citing this book
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