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Infinite Dimensional Lie Transformation Groups

✍ Scribed by Hideki Omori

Book ID
127452440
Publisher
Springer-Verlag
Year
1974
Tongue
English
Weight
1 MB
Series
Lecture notes in mathematics ; 427
Edition
1st edition
Category
Library
ISBN
0387070133

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πŸ“œ SIMILAR VOLUMES

Irreducible Representations of Infinite-
Irreducible Representations of Infinite-Dimensional Transformation Groups and Lie Algebras, I
✍ P.R. Chernoff πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 999 KB

This paper contains some general results on irreducibility and inequivalence of representations of certain kinds of infinite dimensional Lie algebras, related to transformation groups. The main abstract theorem is a generalization of a classical result of Burnside. Applications are given, especially

Integrating Unitary Representations of I
Integrating Unitary Representations of Infinite-Dimensional Lie Groups
✍ Valerio Toledano Laredo πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 237 KB

We show that in the presence of suitable commutator estimates, a projective unitary representation of the Lie algebra of a connected and simply connected Lie group G exponentiates to G. Our proof does not assume G to be finite-dimensional or of Banach Lie type and therefore encompasses the diffeomor