A class of weight modules over the twisted Heisenberg-Virasoro algebra and gap-$p$ Virasoro algebras
Chengkang Xu, Fen Zhang
TL;DR
This paper constructs new simple weight modules over the twisted Heisenberg-Virasoro algebra and gap-$p$ Virasoro algebras, expanding the understanding of their representation theory.
Contribution
It introduces a novel class of simple weight modules derived from restricted modules over specific subalgebras, including new modules for the mirror Heisenberg-Virasoro algebra when p=2.
Findings
New simple weight modules for twisted Heisenberg-Virasoro algebra
Construction of modules for gap-$p$ Virasoro algebras
Identification of modules for mirror Heisenberg-Virasoro algebra when p=2
Abstract
In this paper, we construct a class of simple weight modules over the twisted Heisenberg-Virasoro algebra and gap- Virasoro algebras from restricted modules over some positive part subalgebra of the twisted Heisenberg-Virasoro algebra. These modules are new. In particular, when , the gap- 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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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Operator Algebra Research · Advanced Topics in Algebra