Irreducible representations for the abelian extension of the Lie algebra of diffeomorphisms of tori in dimensions greater than 1

Cuipo Jiang and Qifen Jiang

Vol. 231 (2007), No. 1, 85–101

DOI: 10.2140/pjm.2007.231.85

Abstract

We classify the irreducible weight modules of the abelian extension of the Lie algebra of diffeomorphisms of tori of dimension greater than 1, with finite-dimensional weight spaces.

Keywords

irreducible representation, abelian extension, central charge

Mathematical Subject Classification 2000

Primary: 17B67, 17B65

Secondary: 17B68

Milestones

Received: 3 December 2005

Accepted: 1 March 2006

Published: 1 May 2007