Non-associative local Lie groups

Peter J. Olver

Research output: Contribution to journalArticlepeer-review

18 Scopus citations


A general method for constructing local Lie groups which are not contained in any global Lie group is described. These examples fail to satisfy the global associativity axiom which, by a theorem of Mal'cev, is necessary and sufficient for globalizability. Furthermore, we prove that every local Lie group can be characterized by such a covering construction, thereby generalizing Cartan's global version of the Third Fundamental Theorem of Lie.

Original languageEnglish (US)
Pages (from-to)23-51
Number of pages29
JournalJournal of Lie Theory
Issue number1
StatePublished - Dec 1 1996


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