The First Cohomology of Lie Superalgebra P(2) with Coefficients in Kac Modules

2022/11/05 by Zilu Zhang, Liping Sun, Zhang, Zilu +3
Mathematics · #17B05 #17B50 #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Group Theory (math.GR) #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2211.02907

openalex publication_date 2022/11/05 · openalex created_date 2022/11/13 · openalex updated_date 2026/07/28

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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