On the structure of lie pseudo-groups

Peter J. Olver; Juha Pohjanpelto; Francis Valiquette

doi:10.3842/SIGMA.2009.077

On the structure of lie pseudo-groups

Peter J. Olver
, Juha Pohjanpelto
, Francis Valiquette

School of Mathematics

Research output: Contribution to journal › Article › peer-review

19 Scopus citations

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 language	English (US)
Article number	077
Journal	Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
Volume	5
DOIs	https://doi.org/10.3842/SIGMA.2009.077
State	Published - 2009

Keywords

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

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10.3842/SIGMA.2009.077

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title = "On the structure of lie pseudo-groups",

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.",

keywords = "Contact form, Essential invariant, Infinitesimal generator, Jet, Lie pseudo-group, Maurer-cartan form, Structure equations",

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AU - Olver, Peter J.

AU - Pohjanpelto, Juha

AU - Valiquette, Francis

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KW - Contact form

KW - Essential invariant

KW - Infinitesimal generator

KW - Jet

KW - Lie pseudo-group

KW - Maurer-cartan form

KW - Structure equations

UR - https://www.scopus.com/pages/publications/84896060312

UR - https://www.scopus.com/pages/publications/84896060312#tab=citedBy

U2 - 10.3842/SIGMA.2009.077

DO - 10.3842/SIGMA.2009.077

M3 - Article

AN - SCOPUS:84896060312

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JO - Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

JF - Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

M1 - 077

ER -

On the structure of lie pseudo-groups

Abstract

Keywords

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