English

Classification of Harish-Chandra Modules over the Higher Rank Virasoro Algebras

Quantum Algebra 2009-11-10 v2 Representation Theory

Abstract

It is obtained that an irreducible weight module with finite weight multiplicities over a higher rank Virasoro or super-Virasoro algebra is either a module of the intermediate series, or a so-called finitely-dense module.

Keywords

Cite

@article{arxiv.math/0304074,
  title  = {Classification of Harish-Chandra Modules over the Higher Rank Virasoro Algebras},
  author = {Yucai Su},
  journal= {arXiv preprint arXiv:math/0304074},
  year   = {2009}
}

Comments

Some errors in Theorems 1.1 and 1.2 are corrected