Representations of Lie superalgebras in prime characteristic I

By Weiqiang Wang, Lei Zhao. 2008

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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.

Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics, Geometry and Topology

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