This article is cited in 1 paper

Decomposition of highest-weight representations of a semisimple Lie algebra into representations of regular subalgebras

A. U. Klimyk

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

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.

UDC: 512.4

Received: 29.09.1969

 English version: Mathematical Notes, 1970, 8:6, 868–871

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