Peter J. Olver, Juha Pohjanpelto, Francis Valiquette, “On the Structure of Lie Pseudo-Groups”, SIGMA, 2009, Volume 5,077, 14 pp.

This article is cited in 17 papers

On the Structure of Lie Pseudo-Groups

Peter J. Olver^a, Juha Pohjanpelto^b, Francis Valiquette^a

^a School of Mathematics, University of Minnesota, Minneapolis, MN 55455, USA
^b Department of Mathematics, Oregon State University, Corvallis, OR 97331, USA

Abstract: We compare and contrast two approaches to the structure theory for Lie pseudo-groups, the first due to Cartan, and the second due to the first two authors. We argue that the latter approach offers certain advantages from both a theoretical and practical standpoint.

Keywords: Lie pseudo-group; infinitesimal generator; jet; contact form; Maurer–Cartan form; structure equations; essential invariant.

MSC: 58A15; 58H05

Received: March 31, 2009; in final form July 8, 2009; Published online July 23, 2009

Language: English

DOI: 10.3842/SIGMA.2009.077