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arXiv · 2101.00580

Verma modules over deformed generalized Heisenberg-Virasoro algebras

Chengkang Xu
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Abstract

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

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Chengkang Xu. 2021-01-03. Verma modules over deformed generalized Heisenberg-Virasoro algebras. https://arxiv.org/abs/2101.00580

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