# Yang-Baxter equation and representation theory: I

@article{Kulish1981YangBaxterEA, title={Yang-Baxter equation and representation theory: I}, author={Peter P. Kulish and Nikolai Reshetikhin and Evgeny K. Sklyanin}, journal={Letters in Mathematical Physics}, year={1981}, volume={5}, pages={393-403} }

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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