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Title: A class of gradings of simple Lie algebras
Authors: Baur, Karin
Wallach, Nolan
First Published: 2006
Publisher: Dept. of Mathematics, University of Leicester
Abstract: Abstract. In this paper we give a classification of parabolic subalgebras of simple Lie algebras over C that satisfy two properties. The first property is Lynch’s sufficient condition for the vanishing of certain Lie algebra cohomology spaces for generalized Whittaker modules associated with the parabolic subalgebra and the second is that the moment map of the cotangent bundle of the corresponding generalized flag variety be birational onto its image. We will call this condition the moment map condition.
Series/Report no.: MA 06-006
Type: Report
Appears in Collections:Reports, Dept. of Mathematics

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