Nonstandard hulls of Banach-Lie groups and algebras

Details Nonstandard hulls of Banach-Lie groups and algebras Nonstandard hulls of Banach-Lie groups and algebras

1992-05-19

arxiv.org/abs/funct-an/9205003v1

Mathematics

Operator Algebras

12 pages

Scientific paper

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.

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