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

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

1999-06-17

arxiv.org/abs/math/9906116v1

Mathematics

Representation Theory

16 pages, Latex

Scientific paper

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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