Strongly typical representations of the basic classical Lie superalgebras

2000/09/20 by Gorelik, Maria
#17B10 #17B20 #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.math/0009186

Abstract

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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