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arXiv · 2211.15170

Dynkin abelianisations of Lie algebras of exceptional type

Shreepranav Varma Enugandla
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Abstract

We consider degenerations of all simple Lie algebras of exceptional type obtained by embedding into affine Lie algebras. We give a filtration to consider this as an abelianisation of the original Lie algebra. We then show that the associated graded of simple, finite-dimensional modules are isomorphic to Demazure modules.

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Shreepranav Varma Enugandla. 2022-11-28. Dynkin abelianisations of Lie algebras of exceptional type. https://arxiv.org/abs/2211.15170

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