Classification of Simple Harish-chandra Modules over the High Rank Virasoro Algebras

نویسنده

  • Yucai Su
چکیده

A notion of generalized highest weight modules over the high rank Virasoro algebras is introduced in this paper, 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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تاریخ انتشار 1999