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

1999/06/17 by Yucai Su, Su, Yucai
Mathematics · Physics and Astronomy · #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Representation Theory (math.RT) #math-ph #math.MP #math.RT

paper · pdf · doi:10.48550/arxiv.math/9906116

16 pages, Latex

arxiv created 1999/06/17 · arxiv updated 2009/11/30

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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