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

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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.
16 pages, Latex

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Representation Theory, Mathematical Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/78679

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9906116
 http://arxiv.org/abs/math/9906116

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arXiv