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

Primary: 17B67, 17B65

Secondary: 17B68

Milestones

Received: 3 December 2005
Accepted: 1 March 2006

Authors