Vol. 237, No. 1, 2008

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S. Eswara Rao & Punita Batra

Vol. 237 (2008), No. 1, 151-181
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 afine Kac–Moody Lie algebras.

Keywords

twisted toroidal Lie algebras, integrable modules

Mathematical Subject Classification

Primary: 17B65

Authors
S. Eswara Rao
School of Mathematics
Tata Institute of Fundamental Research
Homi Bhabha Road
Mumbai 400 005
India
Punita Batra
Harish Chandra Research Institute
Chhatnag Road
Jhunsi
Allahabad 211 019
India