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math.RT2008
Ideals in Parabolic Subalgebras of Simple Lie Algebras
Vyjayanthi Chari, R. J. Dolbin, T. Ridenour
We study ad-nilpotent ideals of a parabolic subalgebra of a simple Lie algebra. Any such ideal determines an antichain in a set of positive roots of the simple Lie algebra. We give…
math.RT2008★ 32 cited
A family of Koszul algebras arising from finite-dimensional representations of simple Lie algebras
Vyjayanthi Chari, Jacob Greenstein
Let $\lie g$ be a simple Lie algebra and let $\bs^{\lie g}$ be the locally finite part of the algebra of invariants $(_\bc\bv\otimes S(\lie g))^{\lie g}$ where $\bv$ is the direct…