Recent advances in the theory and application of lie pseudo-groups

Peter Olver

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Scopus citations

Abstract

This paper surveys several new developments in the analysis of Lie pseudo-groups and their actions on submanifolds. The main themes are direct construction of Maurer-Cartan forms and structure equations, and the use of equivariant moving frames to analyze the algebra of differential invariants and invariant differential forms, including generators, commutation relations, and syzygies.

Original languageEnglish (US)
Title of host publicationXVIII International Fall Workshop on Geometry and Physics
Pages35-63
Number of pages29
DOIs
StatePublished - Dec 13 2010
Event18th International Fall Workshop on Geometry and Physics - Benasque, Spain
Duration: Sep 6 2009Sep 9 2009

Publication series

NameAIP Conference Proceedings
Volume1260
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Other

Other18th International Fall Workshop on Geometry and Physics
CountrySpain
CityBenasque
Period9/6/099/9/09

Keywords

  • Lie group
  • Lie pseudo-group
  • Maurer-Cartan form
  • differential invariant
  • moving frame
  • structure equations
  • symmetry

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