On Integrable Modules for the Twisted Full Toroidal Lie Algebra
Journal of Lie theory, Tome 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].
Classification :
17B67, 17B65, 17B70
Mots-clés : Twisted toroidal Lie algebras, integrable modules
Mots-clés : Twisted toroidal Lie algebras, integrable modules
@article{JLT_2018_28_1_JLT_2018_28_1_a5,
author = {P. Batra and S. 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/JLT_2018_28_1_JLT_2018_28_1_a5/}
}
P. Batra; S. 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/JLT_2018_28_1_JLT_2018_28_1_a5/