Irreducible Modules for Super-Virasoro Algebras from Algebraic D-Modules

2021/11/20 by Chen, Haibo, Dai, Xiansheng, Liu, Dong +1 · 1 citation
#FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2111.10691

Abstract

In this paper, we introduce a new family of functors from the category of modules for the Weyl algebra to the category of modules for the super-Virasoro algebras. The properties of these functors are investigated, with an emphasis on irreducibility preservation and natural isomorphisms. By utilizing these functors, we recover some old irreducible super-Virasoro modules, including those from the irreducible intermediate series as well as irreducible U(\mathfrakh)-free modules. Additionally, we provide several families of new irreducible super-Virasoro modules via our constructed functors.

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