Article ID Journal Published Year Pages File Type
4584017 Journal of Algebra 2016 12 Pages PDF
Abstract

In this paper, we provide a uniform method to thoroughly classify all Harish-Chandra modules over some Lie algebras related to the Virasoro algebras. We first classify such modules over the Lie algebra W(ϱ)[s]W(ϱ)[s] for s=0,12. With this result and method, we can also do such works for some Lie algebras related to the Virasoro algebra, including the several kinds of Schrödinger–Virasoro Lie algebras, which are open up to now.

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Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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