New irreducible tensor product modules for the Virasoro algebra

2017/08/30 by Xiangqian Guo, Xuewen Liu, Guo, Xiangqian +3
Engineering · Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Optical Network Technologies #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1708.09747

openalex publication_date 2017/08/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we obtain a class of Virasoro modules by taking tensor products of the irreducible Virasoro modules Ω(λ,α,h) defined in \citeCG, with irreducible highest weight modules V(θ,h) or with irreducible Virasoro modules Ind_θ(N) defined in \citeMZ2. We obtain the necessary and sufficient conditions for such tensor product modules to be irreducible, and determine the necessary and sufficient conditions for two of them to be isomorphic. These modules are not isomorphic to any other known irreducible Virasoro modules.

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