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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