Title: DECOMPOSABLY-GENERATED MODULES OF SIMPLE LIE ALGEBRAS
Abstract: It is shown that there are finitely many irreducible finite-dimensional orthogonal modules V (up to isomorphism) over any complex simple Lie algebras such that Spin 0 (V) is decomposably-generated in the sense of Panyushev [The exterior algebra and "Spin" of an orthogonal 𝔤-module, Trans. Groups6 (2001) 371–396]. The case of simple Lie algebras of type A is discussed.
Publication Year: 2012
Publication Date: 2012-04-01
Language: en
Type: article
Indexed In: ['crossref']
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