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島根大学理学部紀要 Volume 25
published_at 1991-12-25
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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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.
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