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Representations of Yangians and multiplicities of occurrence of the irreducible components of the tensor product of representations of simple Lie algebras

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Abstract

New combinatorial formulas are obtained for the multiplicities in the decomposition of the tensor product of the representations of simple Lie algebras into irreducible components.

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Authors
  1. A. N. Kirillov
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  2. N. Yu. Reshetikhin
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Additional information

Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 160, pp. 211–221, 1987.

The authors are grateful to L. D. Faddeev, N. A. Liskov, A. M. Vershik, and M. A. Semenov-Tyan-Shanskii for interesting discussions and for support.

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Kirillov, A.N., Reshetikhin, N.Y. Representations of Yangians and multiplicities of occurrence of the irreducible components of the tensor product of representations of simple Lie algebras. J Math Sci 52, 3156–3164 (1990). https://doi.org/10.1007/BF02342935

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