Memoirs of the Faculty of Science, Shimane University

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Memoirs of the Faculty of Science, Shimane University 25
1991-12-25 発行

単純リー環上の複リー環の類と単純リー群の射影性

A Class of Double Lie Algebras on Simple Lie Algebras and Projectivity of Simple Lie Groups
Sanami, Manabu
Kikkawa, Michihiko
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Description
The concept of projective double Lie algebras on a Lie algebra is introduced, and they are investigated on real simple Lie algebras of odd-dimension. The results are applied toclassifying all geodesic homogeneous local Lie loops in projective relation with any odddimensional real simple Lie group.