Journal of Lie Theory

no. 1
On Integrable Modules for the Twisted Full Toroidal Lie Algebra
Punita Batra1; Senapathi Eswara Rao2
1Harish-Chandra Research Institute, Allahabad 211019, India
2School of Mathematics, Tata Institute of Fundamental Research, Mumbai, India
Journal of Lie Theory, Volume 28 (2018) no. 1, pp. 79-105
The paper is to classify irreducible integrable modules for twisted full toroidal Lie algebras with some technical conditions. Twisted full toroidal Lie algebras are extensions of multiloop algebras twisted by several finite order automorphisms. This result generalizes a result by Fu Jiayuan and Cuipo Jiang [Integrable representations for the twisted full toroidal Lie algebra, J. Algebra 307 (2007) 769-794], where they consider only one automorphism, and the result in S. Eswara Rao, and C. Jiang [Classifications of irreducible integrable representations for the full toroidal Lie algebras, J. Pure Appl. Algebra 200 (2005) 71--85].
DOI: 10.5802/jolt.995
Classification: 17B67, 17B65, 17B70
Keywords: Twisted toroidal Lie algebras, integrable modules

Punita Batra  1 ; Senapathi Eswara Rao  2

1 Harish-Chandra Research Institute, Allahabad 211019, India
2 School of Mathematics, Tata Institute of Fundamental Research, Mumbai, India 
Punita Batra; Senapathi Eswara Rao. On Integrable Modules for the Twisted Full Toroidal Lie Algebra. Journal of Lie Theory, Volume 28 (2018) no. 1, pp. 79-105. doi: 10.5802/jolt.995
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