Classification of level zero irreducible integrable modules for twisted full toroidal Lie algebras

In this paper, we first construct the twisted full toroidal Lie algebra by an extension of a centreless Lie torus LT which is a multiloop algebra twisted by several automorphisms of finite order and equipped with a particular grading. We then provide a complete classification of all the irreducible...

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Bibliographic Details
Published in:Journal of algebra 2021-07, Vol.578, p.1-29
Main Authors: Pal, Souvik, Eswara Rao, S.
Format: Article
Language:English
Subjects:
Integrable
Level zero
Lie torus
Twisted toroidal
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Summary:In this paper, we first construct the twisted full toroidal Lie algebra by an extension of a centreless Lie torus LT which is a multiloop algebra twisted by several automorphisms of finite order and equipped with a particular grading. We then provide a complete classification of all the irreducible integrable modules with finite-dimensional weight spaces for this twisted full toroidal Lie algebra having a non-trivial LT-action and where the centre of the underlying Lie algebra acts trivially.
ISSN:0021-8693
1090-266X
DOI:10.1016/j.jalgebra.2021.02.026