On the structure of lie pseudo-groups

Peter J. Olver, Juha Pohjanpelto, Francis Valiquette

Research output: Contribution to journalArticlepeer-review

16 Scopus citations


We compare and contrast two approaches to the structure theory for Lie pseudogroups, 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.

Original languageEnglish (US)
Article number077
JournalSymmetry, Integrability and Geometry: Methods and Applications (SIGMA)
StatePublished - 2009


  • Contact form
  • Essential invariant
  • Infinitesimal generator
  • Jet
  • Lie pseudo-group
  • Maurer-cartan form
  • Structure equations


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