Complexity and nilpotent orbits
type: Item
instance of: scholarly article
title: Complexity and nilpotent orbits
zbMATH Open document ID: 0822.14024
DOI: 10.1007/BF02567611
author: Dmitri I. Panyushev
published in: Manuscripta Mathematica
publication date: 1994-10-05T00:00:00Z
full work available at URL: https://eudml.org/doc/155958
review text: Let \(G\) be a connected reductive algebraic group defined over an algebraically closed field of characteristic zero, and let \(H\) be an algebraic subgroup of \(G\). The rank and complexity of the homogeneous space \(G/H\) play an important role in describing normal \(G\)-equivariant embeddings of \(G/H\). The author of this paper gives some new formulas, which reduce the problem to finding stabilizers of general position in linear representations of \(G\). As an application, a description of spherical (i.e. of complexity zero) nilpotent orbits is obtained.
Mathematics Subject Classification ID: 14M17
Mathematics Subject Classification ID: 20G05
zbMATH DE Number: 624933
zbMATH Keywords: rank of normal homogeneous space
zbMATH Keywords: spherical orbits
zbMATH Keywords: complexity of homogeneous space
zbMATH Keywords: reductive algebraic group
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 624933