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Dynkin abelianisations of Lie algebras of exceptional type (2211.15170v1)
Published 28 Nov 2022 in math.RT
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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