New irreducible tensor product modules for the Virasoro algebra (II)

2017/08/30 by Xuewen Liu, Xiangqian Guo, Liu, Xuewen +3
Medicine · #FOS: Mathematics #Representation Theory (math.RT) #Retinal Diseases and Treatments #Retinal and Macular Surgery #Vascular Malformations Diagnosis and Treatment

paper · pdf · doi:10.48550/arxiv.1708.09748

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) and Ω(μ, b) with irreducible highest weight modules V(θ,h) or with irreducible Virasoro modules Ind_θ(N) defined in [MZ2]. 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. We also compare these modules with other known non-weight Virasoro modules.

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