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Nonstandard hulls of Banach-Lie groups and algebras by Pestov, Vladimir G. is a scholarly article available to read on EtoBox.

What is Nonstandard hulls of Banach-Lie groups and algebras about?

We propose a new construction of Banach-Lie groups and algebras relying on nonstandard analysis. A major standard application is the Local Theorem which to certain extent reduces the problem of associating a Lie group to a given banach-Lie algebra to a similar problem for finitely generated Lie subalgebras. We discuss possible applications, e.g., to gauge theories.

Author

Pestov, Vladimir G.

Published

1992

Language

EN