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math.AG2001
Weight multiplicity free representations, -endomorphism algebras, and Dynkin polynomials
Dmitri I. Panyushev
-endomorphism algebras form an interesting class of associative algebras related to the adjoint representation of a semisimple Lie algebra . These algebras were r…
math.AG2001★ 7 cited
The index of a Lie algebra, the centraliser of a nilpotent element, and the normaliser of the centraliser
Dmitri I. Panyushev
In this paper, we study the index for several natural classes of non-reductive subalgebras of semisimple Lie algebras. Namely, we look at parabolic subalgebras, centralisers of nil…