Author | Omori, Hideki. author |
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Title | Infinite Dimensional Lie Transformations Groups [electronic resource] / by Hideki Omori |
Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg, 1974 |
Connect to | http://dx.doi.org/10.1007/BFb0063400 |
Descript | XIV, 154 p. online resource |
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