The First Cohomology of Lie Superalgebra P(2) with Coefficients in Kac Modules
Abstract
Over a field of characteristic p>2, firstly, the structure of Kac modules of Lie superalgebra P(2) and the weight space decompositions are given. Secondly, the weight-derivations of P(2) to its Kac modules are computed. Finally, the first cohomology of P(2) with coefficients in Kac modules is determined.
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