Infinite dimensional Lie transformations groups

書誌事項

Infinite dimensional Lie transformations groups

Hideki Omori

(Lecture notes in mathematics, 427)

Springer-Verlag, 1974

  • : Germany
  • : U.S.

タイトル別名

Infinite dimensional lie transformation groups

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注記

Bibliography: p. 147-149

内容説明・目次

目次

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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