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About one class of representations of the Lie algebra

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Abstract

LetR(G) be the skewsymmetric representation of the algebraG characterized by the following main property: ifG′⊂G is some subalgebra ofG (possible noncompact) thenR(G′) is integrable and reducible in the direct sum of irreducible representations of subalgebraG′.

The paper is devoted to the development of the elementary theory of the described representations, culminating in the proof of one version of Schur's lemma.

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Authors and Affiliations

  1. Faculty of Mathematics and Physics, Charles University, Prague

    M. Havlíček

  2. Myslíkova 7, Prague 1

    M. Havlíček

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  1. M. Havlíček
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Havlíček, M. About one class of representations of the Lie algebra. Commun.Math. Phys. 20, 130–142 (1971). https://doi.org/10.1007/BF01646532

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  • DOI: https://doi.org/10.1007/BF01646532

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