Highest weight irreducible representations of the Lie superalgebra gl(1|∞)

Two classes of irreducible highest weight modules of the general linear Lie superalgebra gl(1|∞) are constructed. Within each module a basis is introduced and the transformation relations of the basis under the action of the algebra generators are written down.

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Bibliographic Details
Published in:Journal of mathematical physics 1999-03, Vol.40 (3), p.1574-1594
Main Authors: Palev, T. D., Stoilova, N. I.
Format: Article
Language:English
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Summary:Two classes of irreducible highest weight modules of the general linear Lie superalgebra gl(1|∞) are constructed. Within each module a basis is introduced and the transformation relations of the basis under the action of the algebra generators are written down.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.532821