arXiv:2211.02907·math.RT·November 8, 2022
The First Cohomology of Lie Superalgebra $\tilde{P}(2)$ with Coefficients in Kac Modules
Zilu Zhang, Liping Sun, Zhaoxin Li
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Abstract
Over a field of characteristic p>2, firstly, the structure of Kac modules of Lie superalgebra and the weight space decompositions are given. Secondly, the weight-derivations of to its Kac modules are computed. Finally, the first cohomology of with coefficients in Kac modules is determined.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Advanced Algebra and Geometry