Direct Limits of Infinite-Dimensional Lie Groups
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Auteurs : Helge Glöckner [Allemagne]Source :
- 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.
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DOI: 10.1007/978-0-8176-4741-4_8
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