Representations of Lie Superalgebras in Prime Characteristic I

Lei Zhao; Weiqiang Wang

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Representations of Lie Superalgebras in Prime Characteristic I

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arxiv 0808.0046 v2 pith:6ETCZGMG submitted 2008-08-01 math.RT math.QAmath.RA

Representations of Lie Superalgebras in Prime Characteristic I

Weiqiang Wang , Lei Zhao This is my paper

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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.

Representations of Lie Superalgebras in Prime Characteristic I

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