Infinite Dimensional Lie Transformations Groups

Omori, Hideki.

Infinite Dimensional Lie Transformations Groups [electronic resource] / by Hideki Omori. - XIV, 154 p. online resource. - Lecture Notes in Mathematics, 427 0075-8434 ; . - Lecture Notes in Mathematics, 427 .

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.

9783540372950

10.1007/BFb0063400 doi


Algebra.
Algebra.

QA150-272

512
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