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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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