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Symmetry, Integrability and Geometry: Methods and Applications, 2009, Volume 5, 077, 14 pp.
DOI: https://doi.org/10.3842/SIGMA.2009.077 (Mi sigma422) 		 
This article is cited in 17 scientific papers (total in 17 papers)

On the Structure of Lie Pseudo-Groups

Peter J. Olvera, Juha Pohjanpeltob, Francis Valiquettea

a School of Mathematics, University of Minnesota, Minneapolis, MN 55455, USA
b Department of Mathematics, Oregon State University, Corvallis, OR 97331, USA
Full-text PDF (287 kB) Citations (17)
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DOI: https://doi.org/10.3842/SIGMA.2009.077
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.
Received: March 31, 2009; in final form July 8, 2009; Published online July 23, 2009
Bibliographic databases:
Document Type: Article
MSC: 58A15; 58H05
Language: English
Citation: Peter J. Olver, Juha Pohjanpelto, Francis Valiquette, “On the Structure of Lie Pseudo-Groups”, SIGMA, 5 (2009), 077, 14 pp.
Citation in format AMSBIB
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