BourbakiV1, Istex, Corpus, bibRecord, 002049

Direct Limits of Infinite-Dimensional Lie Groups

Identifieur interne : 002049 ( Istex/Corpus ); précédent : 002048; suivant : 002050

Direct Limits of Infinite-Dimensional Lie Groups

Source :

Progress in Mathematics ; 2011.

RBID : ISTEX:9ED5F3BC6BB253807BF8013C6E051AA93E597575

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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https://api.istex.fr/document/9ED5F3BC6BB253807BF8013C6E051AA93E597575/fulltext/pdf

DOI: 10.1007/978-0-8176-4741-4_8

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<Keyword>Silva space</Keyword>
<Keyword>regularity</Keyword>
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<Keyword>homotopy group</Keyword>
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Direct Limits of Infinite-Dimensional Lie Groups

Direct Limits of Infinite-Dimensional Lie Groups

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