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].
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, Tome 28 (2018) no. 1, pp. 79-105. http://geodesic.mathdoc.fr/item/JOLT_2018_28_1_a5/
@article{JOLT_2018_28_1_a5,
author = {Punita Batra and Senapathi Eswara Rao},
title = {On {Integrable} {Modules} for the {Twisted} {Full} {Toroidal} {Lie} {Algebra}},
journal = {Journal of Lie Theory},
pages = {79--105},
year = {2018},
volume = {28},
number = {1},
url = {http://geodesic.mathdoc.fr/item/JOLT_2018_28_1_a5/}
}
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AU - Punita Batra
AU - Senapathi Eswara Rao
TI - On Integrable Modules for the Twisted Full Toroidal Lie Algebra
JO - Journal of Lie Theory
PY - 2018
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VL - 28
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UR - http://geodesic.mathdoc.fr/item/JOLT_2018_28_1_a5/
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