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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.

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Authors and Affiliations

  1. Leningrad Branch, Steklov Mathematical Institute, Fontanka 27, 191011, Leningrad, U.S.S.R.

    P. P. Kulish, N. Yu. Reshetikhin & E. K. Sklyanin

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  1. P. P. Kulish
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  2. N. Yu. Reshetikhin
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  3. E. K. Sklyanin
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Kulish, P.P., Reshetikhin, N.Y. & Sklyanin, E.K. Yang-Baxter equation and representation theory: I. Lett Math Phys 5, 393–403 (1981). https://doi.org/10.1007/BF02285311

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  • DOI: https://doi.org/10.1007/BF02285311

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