Strongly Typical Representations of the Basic Classical Lie Superalgebras
نویسنده
چکیده
1.1. In [PS1], I. Penkov and V. Serganova show that the category of representations of a basic classical Lie superalgebra g of type I with a fixed typical central character is equivalent to the category of representations of the even part g0 with a suitable central character. A similar result for type II was proven by I. Penkov in [P] for “generic” central characters. The aim of this paper is to understand for which central characters such an equivalence holds. We also study a simplest example when such an equivalence fails to exist, but the corresponding category of representations of a Lie superalgebra still has a good description.
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