Lie completion of pseudo-groups

Vladimir Itskov, Peter J. Olver, Francis Valiquette

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

By far the most important class of pseudo-groups, both for theory and in essentially all applications, are the Lie pseudo-groups. In this paper we propose a definition of the Lie completion of a regular pseudo-group, and establish some of its basic properties. In particular, a pseudo-group and its Lie completion have exactly the same differential invariants and invariant differential forms. Thus, for practical purposes, one can exclusively work within the category of Lie pseudo-groups.

Original languageEnglish (US)
Pages (from-to)161-173
Number of pages13
JournalTransformation Groups
Volume16
Issue number1
DOIs
StatePublished - Mar 2011

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