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Infinite Dimensional Lie Transformation Groups (Lecture Notes in Mathematics)

SKU: 9783540070139

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Infinite Dimensional Lie Transformation Groups (Lecture Notes in Mathematics), B. D. Sleeman, 9783540070139

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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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