Richardson orbits for real classical groups
type: Item
instance of: scholarly article
title: Richardson orbits for real classical groups
zbMATH Open document ID: 1070.22003
author: Peter E. Trapa
published in: Journal of Algebra
publication date: 2005-05-04T00:00:00Z
review text: For classical real Lie groups, the annihilators and associated varieties of the derived functor modules cohomologically induced from the trivial representation are computed. It is also proved that every complex special orbit has a real form that is a nilpotent orbit arising as such an associated variety (this real form is called Richardson orbit). As a consequence, many new infinite families of simple highest weight modules with irreducible associated varieties are given. The analogous computations for singular derived functor modules in the weakly fair range and a method to detect non-normality of complex nilpotent orbit closures are sketched.
reviewed by: Vladimir L. Popov
Mathematics Subject Classification ID: 22E15
zbMATH DE Number: 2164787
zbMATH Keywords: Lie group
zbMATH Keywords: Lie algebra
zbMATH Keywords: orbital variety
MaRDI profile type: Publication
full work available at URL: j.jalgebra.2003.07.027
OpenAlex ID: W2034097383
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DOI: 10.1016/J.JALGEBRA.2003.07.027
description: scientific article; zbMATH DE number 2164787