Direct Limits of Infinite-Dimensional Lie Groups
Identifieur interne : 002049 ( Istex/Corpus ); précédent : 002048; suivant : 002050Direct Limits of Infinite-Dimensional Lie Groups
Auteurs : Helge GlöcknerSource :
- Progress in Mathematics ; 2011.
Abstract
Summary: Many infinite-dimensional Lie groups G of interest can be expressed as the union G = ∪n∈ℕ G n of an ascending sequence $$G_{1} \subseteq G_{2} \subseteq \cdots $$ of (finite- or infinite-dimensional) Lie groups. In this survey article, we compile general results concerning such ascending unions, describe the main classes of examples and explain what the general theory tells us about them.
Url:
DOI: 10.1007/978-0-8176-4741-4_8
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