caa a22 4500 44586219X CHVBK 20180317145447.0 cr unu---uuuuu 170323e20110301xx s 000 0 eng 10.1007/s00031-010-9118-1 doi (NATIONALLICENCE)springer-10.1007/s00031-010-9118-1 Lie completion of pseudo-groups [Elektronische Daten] [Vladimir Itskov, Peter Olver, Francis Valiquette] 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. Springer Science+Business Media, LLC, 2010 Itskov Vladimir Department of Mathematics, University of Nebraska, 68588, Lincoln, NE, USA aut Olver Peter School of Mathematics, University of Minnesota, 55455, Minneapolis, MN, USA aut Valiquette Francis Department of Mathematics and Statistics, McGill University, H3A 2K6, Montréal, Québec, Canada aut Transformation Groups SP Birkhäuser Verlag Boston 16/1(2011-03-01), 161-173 1083-4362 16:1<161 2011 16 31 https://doi.org/10.1007/s00031-010-9118-1 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00031-010-9118-1 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Itskov Vladimir Department of Mathematics, University of Nebraska, 68588, Lincoln, NE, USA aut NATIONALLICENCE 700 1- Olver Peter School of Mathematics, University of Minnesota, 55455, Minneapolis, MN, USA aut NATIONALLICENCE 700 1- Valiquette Francis Department of Mathematics and Statistics, McGill University, H3A 2K6, Montréal, Québec, Canada aut NATIONALLICENCE 773 0- Transformation Groups SP Birkhäuser Verlag Boston 16/1(2011-03-01), 161-173 1083-4362 16:1<161 2011 16 31 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer