Classification of irreducible integrable modules for twisted toroidal Lie algebras with finite-dimensional weight spaces

S. Eswara Rao and Punita Batra

Vol. 237 (2008), No. 1, 151–181

DOI: 10.2140/pjm.2008.237.151

Abstract

This paper classifies irreducible, integrable modules for “twisted toroidal Lie algebras” with finite-dimensional weight spaces. We prove that these modules turn out to be modules of appropriate direct sums of finitely many copies of affine Kac–Moody Lie algebras.

Keywords

twisted toroidal Lie algebras, integrable modules

Mathematical Subject Classification 2000

Primary: 17B65

Milestones

Received: 11 November 2007

Revised: 6 May 2008

Accepted: 13 May 2008

Published: 1 September 2008