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. 1988 Mar;85(5):1330–1333. doi: 10.1073/pnas.85.5.1330

Gordan—Capelli series in superalgebras

Andrea Brini †, Aldopaolo Palareti ‡, Antonio G B Teolis §
PMCID: PMC279764  PMID: 16593911

Abstract

We derive two Gordan—Capelli series for the supersymmetric algebra of the tensor product of two [unk]2-graded [unk]-vector spaces U and V, being [unk] a field of characteristic zero. These expansions yield complete decompositions of the supersymmetric algebra regarded as a pl(U)- and a pl(V)- module, where pl(U) and pl(V) are the general linear Lie superalgebras of U and V, respectively.

Keywords: polarization operators, symmetrized Young bitableaux, Lie superalgebras, representation theory, straightening algorithms

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Selected References

These references are in PubMed. This may not be the complete list of references from this article.

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