On simple restricted modules of Hamiltonian superalgebras with p-characters of height 0

2025/08/10 by Zhang, Jingyi, Chen, Liangyun
#FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2508.08329

Abstract

Let H(2,1;\underlinet) be Hamiltonian superalgebras over \mathbbF, an algebraically closed field of prime characteristic p>3, which are non-restricted simple Lie superalgebras, generally. In this paper, we study generalized χ-reduced simple modules over H(2,1;\underlinet). We proved that all generalized χ-reduced Kac modules of H(2,1;\underlinet) are simple with p-characters χ of height 0. Additionally, the isomorphism classes of these simple H(2,1;\underlinet)-modules are classified and their dimensions are determined.

Citations

• Finite dimensional special odd contact superalgebras over a field of prime characteristic

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