Prehomogeneous spaces for the coadjoint action of a parabolic group
type: Item
instance of: scholarly article
title: Prehomogeneous spaces for the coadjoint action of a parabolic group
zbMATH Open document ID: 1057.14067
published in: Journal of Algebra
publication date: 2004-10-01T00:00:00Z
review text: Let \(B\) be a Borel subgroup of a reductive linear algebraic group \(G\) over an algebraically closed field. Let \(b_u\) be Lie algebra of the unipotent radical of \(B\). It was shown by \textit{A. Joseph} [J. Algebra 48, 241--289 (1977; Zbl 0405.17007)] that in characteristic zero \(B\) acts on \((b_u)^*\) with a dense orbit. The author proves that this result holds in arbitrary characteristic.
reviewed by: Dmitri I. Panyushev
Mathematics Subject Classification ID: 14M17
Mathematics Subject Classification ID: 14L30
zbMATH DE Number: 2104453
zbMATH Keywords: parabolic subgroup
author: Simon M. Goodwin
MaRDI profile type: Publication
full work available at URL: j.jalgebra.2004.01.007
OpenAlex ID: W2144800320
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DOI: 10.1016/J.JALGEBRA.2004.01.007
description: scientific article; zbMATH DE number 2104453