On the structure of lie pseudo-groups

Peter J. Olver, Juha Pohjanpelto, Francis Valiquette

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Abstract

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)
Volume5
DOIs
StatePublished - 2009

Keywords

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

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