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arXiv:0808.0046 [math.RT]AbstractReferencesReviewsResources

Representations of Lie Superalgebras in Prime Characteristic I

Weiqiang Wang, Lei Zhao

Published 2008-08-01, updated 2009-01-12Version 2

We initiate the representation theory of restricted Lie superalgebras over an algebraically closed field of characteristic p>2. A superalgebra generalization of the celebrated Kac-Weisfeiler Conjecture is formulated, which exhibits a mixture of p-power and 2-power divisibilities of dimensions of modules. We establish the Conjecture for basic classical Lie superalgebras.

Comments: v2, mild correction of typos, Proc. London Math. Soc. (to appear)
Journal: Proc. London Math. Soc. 99 (2009), 145--167.
Categories: math.RT, math.QA, math.RA
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