A class of weight modules over the twisted Heisenberg-Virasoro algebra and gap-p Virasoro algebras
Abstract
In this paper, we construct a class of simple weight modules over the twisted Heisenberg-Virasoro algebra and gap-p Virasoro algebras from restricted modules over some positive part subalgebra of the twisted Heisenberg-Virasoro algebra. These modules are new. In particular, when p=2, the gap-p Virasoro algebra is the mirror Heisenberg-Virasoro algebra and we obtain many new simple weight modules for the mirror Heisenberg-Virasoro algebra.
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