Verma modules over deformed generalized Heisenberg-Virasoro algebras

preprint2021arXivOpen access

Abstract

Let g(G,λ)\mathfrak g(G,λ) denote the deformed generalized Heisenberg-Virasoro algebra related to a complex parameter λ≠−1λ\neq-1 and an additive subgroup GG of C\mathbb C. For a total order on GG that is compatible with addition, a Verma module over g(G,λ)\mathfrak g(G,λ) is defined. In this paper, we completely determine the irreducibility of these Verma modules.

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