A Note on Simple Anti-Commutative Algebras Obtained from Reductive Homogeneous Spaces-Reference-Cited by-同舟云学术

A Note on Simple Anti-Commutative Algebras Obtained from Reductive Homogeneous Spaces

Published:1968-01 Issue: Volume:31 Page:105-124
ISSN:0027-7630
Container-title:Nagoya Mathematical Journal
language:en
Short-container-title:Nagoya Mathematical Journal

Author:

Sagle Arthur A.

Abstract

LetGbe a connected Lie group andHa closed subgroup, then the homogeneous spaceM = G/His calledreductiveif there exists a decomposition(subspace direct sum) withwhereg(resp.) is the Lie algebra ofG(resp.H); in this case the pair (g,) is called areductive pair.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference14 articles.

1. On the Lie triple system and its generalization;Yamaguti;J. Sci. of Hiroshima Univ.,1958

2. On simple extended Lie algebras over fields of characteristic zero

3. Semisimple subalgebras of semisimple Lie algebras;Dynkin;Maximal subgroups of the classical groups,1957

4. On anti-commutative algebras and general Lie triple systems

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