On the solution of the Yang-Baxter equation
1980
25 pages
Published in:
- J.Sov.Math. 19 (1982) 1596-1620,
- Zap.Nauchn.Semin. 95 (1980) 129-160
DOI:
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Abstract: (Springer)
We give the basic definitions connected with the Yang-Baxter equation (factorization condition for a multiparticle S-matrix) and formulate the problem of classifying its solutions. We list the known methods of solution of the Y-B equation, and also various applications of this equation to the theory of completely integrable quantum and classical systems. A generalization of the Y-B equation to the case ofZ2-graduation is obtained, a possible connection with the theory of representations is noted. The supplement contains about 20 explicit solutions.References(0)
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