Dynkin abelianisations of Lie algebras of exceptional type
arXiv:2211.15170
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.
10 pages, 2 figures, 1 table