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arXiv · 1011.3438

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

Dong Liu
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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 $W(\varrho)[s]$ 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\"odinger-Virasoro Lie algebras, which are open up to now.

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BibTeXRIS

Dong Liu. 2010-11-15. Classification of Harish-Chandra modules over some Lie algebras related to the Virasoro algebra. https://arxiv.org/abs/1011.3438

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