Irreducible twisted Heisenberg-Virasoro modules from tensor products

2019/04/02 by Haibo Chen, Chen, Haibo, Yucai Su +1
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.1904.01170

openalex publication_date 2019/04/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we realize polynomial \H-modules Ω(λ,α,β) from irreducible twisted Heisenberg-Virasoro modules \A_α,β. It follows from \H-modules Ω(λ,α,β) and Ind(M) that we obtain a class of natural non-weight tensor product modules (\bigotimes_i=1^mΩ(λ_i,α_i,β_i))⊗ Ind(M). Then we give the necessary and sufficient conditions under which these modules are irreducible and isomorphic, and also give that the irreducible modules in this class are new.

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