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Strongly typical representations of the basic classical Lie superalgebras

Representation Theory 2007-05-23 v1

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)osp(1,2l) the category of representations with a "generic" weakly atypical central character is described.

Keywords

Cite

@article{arxiv.math/0009186,
  title  = {Strongly typical representations of the basic classical Lie superalgebras},
  author = {Maria Gorelik},
  journal= {arXiv preprint arXiv:math/0009186},
  year   = {2007}
}

Comments

21 pages