A class of gradings of simple Lie algebras

Karin Baur, Nolan R. Wallach

Type: Other

Publication Date: 2007-01-01

Citations: 2

DOI: https://doi.org/10.1090/conm/442/08517

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.

Locations

Contemporary mathematics - American Mathematical Society - View
arXiv (Cornell University) - View - PDF
OPAL (Open@LaTrobe) (La Trobe University) - View - PDF
Leicester Research Archive (University of Leicester) - View - PDF

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