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

22 January 1968

journal article
research article
Published by Cambridge University Press (CUP) in Nagoya Mathematical Journal

Vol. 31, 105-124
https://doi.org/10.1017/s0027763000012691

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.

Keywords

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