Infinite Dimensional Lie Transformation Groups (Lecture Notes in Mathematics, 427)
Description
General theory of strong ILB-Lie groups and subgroups.- Groups of diffeomorphisms.- Basic theorems I.- Vector bundle over strong ILB-Lie groups.- Review of the smooth extension theorem and a remark on elliptic operators.- Basic theorems II (Frobenius theorem).- Frobenius theorem on strong ILB-Lie groups.- Miscellaneous examples.- Primitive transformation groups.- Lie algebras of vector fields.- Linear groups and groups of diffeomorphisms.
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