Strongly typical representations of the basic classical Lie superalgebras

Details Strongly typical representations of the basic classical Lie superalgebras Strongly typical representations of the basic classical Lie superalgebras

2000-09-20

arxiv.org/abs/math/0009186v1

Mathematics

Representation Theory

21 pages

Scientific paper

The category of representations with a strongly typical central character of a basic classical Lie superalgebra is proven to be equivalent to the category of representations of its even part corresponding to an appropriate central character. For a Lie superalgebra $osp(1,2l)$ the category of representations with a "generic" weakly atypical central character is described.

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