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

S. Eswara Rao, Punita Batra
2008 Pacific Journal of Mathematics  
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. MSC2000: 17B65. This implies that either n 0 = 0 or λ = 0. But, by choice, n 0 = 0, and hence λ = 0. This proves that h α ⊗ Q(t)w = 0.
doi:10.2140/pjm.2008.237.151 fatcat:xsbia4ygqbcb5pvtx3chmsgfae