The Sylvester's law of inertia in simple graded Lie algebras
type: Item
instance of: scholarly article
title: The Sylvester's law of inertia in simple graded Lie algebras
zbMATH Open document ID: 0939.17009
author: Soji Kaneyuki
published in: Journal of the Mathematical Society of Japan
publication date: 2000-04-19T00:00:00Z
review text: Let \(L=L_{-1}\oplus L_0\oplus L_1\) be a real simple graded Lie algebra, \(G_0\) the group of automorphisms of \(L\), preserving the grading, \(G_0^0\) the identity component of \(G_0\). The main result of the paper in Theorem 5.5 gives a classification of orbits of \(G_0\) and \(G_0^0\) in \(L_{-1}\). There exist two open orbits of \(G_0^0\) which are diffeomorphic. There is a single open orbit of \(G_0\) in \(L_{-1}\).
Mathematics Subject Classification ID: 17B20
Mathematics Subject Classification ID: 17B70
zbMATH DE Number: 1248130
zbMATH Keywords: real simple graded Lie algebras
zbMATH Keywords: automorphisms
zbMATH Keywords: orbits
reviewed by: Vyacheslav A. Artamonov
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2969/jmsj/05030593
OpenAlex ID: W2154471651
DOI: 10.2969/JMSJ/05030593
description: scientific article; zbMATH DE number 1248130