Yang-Baxter equation and representation theory: I
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Abstract
The problem of constructing the GL(N,ℂ) solutions to the Yang-Baxter equation (factorizedS-matrices) is considered. In caseN=2 all the solutions for arbitrarily finite-dimensional irreducible representations of GL(2,ℂ) are obtained and their eigenvalues are calculated. Some results for the caseN>2 are also presented.
Keywords
Statistical Physic Group Theory Irreducible Representation Representation Theory
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© D. Reidel Publishing Company 1981