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arXiv:2211.15170 [math.RT]AbstractReferencesReviewsResources

Dynkin abelianisations of Lie algebras of exceptional type

Shreepranav Varma Enugandla

Published 2022-11-28Version 1

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.

Comments: 10 pages, 2 figures, 1 table
Categories: math.RT
Subjects: 17B10, 17B67, 14M15
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