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arXiv:1011.3438 [math.RT]AbstractReferencesReviewsResources

Classification of Harish-Chandra modules over some Lie algebras related to the Virasoro algebra

Dong Liu

Published 2010-11-15, updated 2013-08-29Version 5

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 $W(\varrho)[s]$ for $s=0,\frac12$. With this result and method, we can also do such works for some Lie algebras and superconformal algebras related to the Virasoro algebra, including the several kinds of Schr\"{o}dinger-Virasoro Lie algebras, which are open up to now.

Comments: Latex, 22 pages. arXiv admin note: text overlap with arXiv:math/0510194 by other authors
Subjects: 17B10, 17B65, 17B68, 17B70
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