Representations of Lie Superalgebras in Prime Characteristic I

نویسندگان

  • WEIQIANG WANG
  • LEI ZHAO
چکیده

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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تاریخ انتشار 2009