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Representations of Lie Superalgebras in Prime Characteristic I
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math.RTmath.QAmath.RA
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superalgebrascharacteristicconjecturealgebraicallybasiccelebratedclassicalclosed
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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.
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