This article is cited in 1 paper

On the tensor product of representations of semisimple Lie groups

A. U. Klimyk

Institute of Theoretical Physics, Academy of Sciences of the Ukrainian SSR

Abstract: The problem of the decomposition of the tensor product of finite and infinite representations of a complex semigroup of a Lie group is examined by using the theory of characters of completely irreducible representations. A theorem is proved which indicates that completely irreducible representations enter into the expansion of the tensor product of a finite and elementary representation.

UDC: 513.88

Received: 18.09.1973

 English version: Mathematical Notes, 1974, 16:5, 1033–1037

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