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Classification of simple Harish-Chandra modules over the high rank Virasoro algebras

Yucai Su
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Abstract

A notion of generalized highest weight modules over the high rank Virasoro algebras is introduced, and a theorem, which was originally given as a conjecture by Kac over the Virasoro algebra, is generalized. Mainly, we prove that a simple Harish-Chandra module over a high rank Virasoro algebra is either a generalized highest weight module, or a module of the intermediate series.

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BibTeXRIS

Yucai Su. 1999-06-17. Classification of simple Harish-Chandra modules over the high rank Virasoro algebras. https://arxiv.org/abs/math/9906116

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