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

Published online by Cambridge University Press:  22 January 2016

Arthur A. Sagle
Arthur A. Sagle*
Affiliation:
University of Minnesota
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Let G be a connected Lie group and H a closed subgroup, then the homogeneous space M = G/H is called reductive if there exists a decomposition (subspace direct sum) with where g (resp. ) is the Lie algebra of G (resp. H); in this case the pair (g,) is called a reductive pair.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 31 , January 1968 , pp. 105 - 124
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1968

References

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