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Extensions of Lie groups

✍ Scribed by Garrett Birkhoff


Publisher
Springer-Verlag
Year
1950
Tongue
French
Weight
512 KB
Volume
53
Category
Article
ISSN
0025-5874

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Lie groups carrying a left invariant symplectic form (symplectic groups) are described in terms of semi-direct product of Lie groups or symplectic reduction and principal fiber bundles with affine fiber. We give a generalization of Medina and Revoy's symplectic double extension, which realizes a sym