Decomposition of highest-weight representations of a semisimple Lie algebra into representations of regular subalgebras |
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Authors: | A. U. Klimyk |
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Affiliation: | (1) Institute of Theoretical Physics, Academy of Science of the Ukrainian SSR, USSR |
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Abstract: | A formula is derived for the decomposition of the highest-weight representation of a semisimple Lie algebra into irreducible representations of its regular subalgebra. In particular the case of finite-dimensional representations is investigated.Translated from Matematicheskie Zametki, Vol. 8, No. 6, pp. 703–710, December, 1970. |
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