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arXiv · 2009.09479

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

Souvik Pal·S. Eswara Rao
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Abstract

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.

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BibTeXRIS

Souvik Pal, S. Eswara Rao. 2020-09-20. Classification of level zero irreducible integrable modules for twisted full toroidal Lie algebras. https://arxiv.org/abs/2009.09479

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