Simple Harish-Chandra modules over the super affine-Virasoro algebras

2021/12/14 by He Yan, Dong Liu, He, Yan +3 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2112.07448

openalex publication_date 2021/12/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we classify all simple Harish-Chandra modules over the super affine-Virasoro algebra \widehatL=W\ltimes(\mathfrakg⊗ A)⊕ ℂC, where A=ℂ[t^{± 1}]⊗Λ(1) is the tensor superalgebra of the Laurent polynomial algebra in even variable t and the Grassmann algebra in odd variable ξ, W is the Lie superalgebra of superderivations of A, and \mathfrakg is a finite-dimensional perfect Lie superalgebra.

Cited by

• (d,σ)-twisted Affine-Virasoro superalgebras

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