Lie completion of pseudo-groups

Vladimir Itskov, Peter J. Olver, Francis Valiquette

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


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
Issue number1
StatePublished - Mar 2011


Dive into the research topics of 'Lie completion of pseudo-groups'. Together they form a unique fingerprint.

Cite this