Lie pseudogroups à la Cartan

DOI10.1090/memo/1527MaRDI QIDQ6661175

Ori Yudilevich, Marius Crainic

Publication date: 13 January 2025

Published in: Unnamed Author (Search for Journal in Brave)

zbMATH Keywords

Lie algebroidsLie groupoidsjetsLie pseudogroupsstructure equationsSpencer cohomology

Mathematics Subject Classification ID

Jets in global analysis (58A20) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Exterior differential systems (Cartan theory) (58A15) Research exposition (monographs, survey articles) pertaining to global analysis (58-02) Pseudogroups and differentiable groupoids (58H05) (G)-structures (53C10)

Cites Work

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• The role of the Jacobi identity in solving the Maurer-Cartan structure equation
• Structures feuilletées et cohomologie à valeur dans un faisceau de groupoïdes
• Algebraic constructions in the category of Lie algebroids
• On the structure of Lie pseudo-groups
• Modular classes of Lie algebroid morphisms
• Invariants différentiels d'un pseudogroupe de Lie. I
• The infinite groups of Lie and Cartan. I: The transitive groups
• Integrability of Lie brackets
• Multiplicative forms and Spencer operators
• Deformation of structures on manifolds defined by transitive, continuous pseudogroups. I: Infinitesimal deformations of structure. II: Deformations of structure
• Maurer-Cartan forms and the structure of Lie pseudo-groups
• Equation de Lie. I, II
• Sur le problème d'équivalence de certaines structures infinitésimales
• On integrability of infinitesimal actions
• Deformation theory of pseudogroup structures
• On Cartan Pseudo Groups
• The First and Second Fundamental Theorems of Lie for Lie Pseudo Groups
• On the Local Theory of Continuous Infinite Pseudo Groups I
• An algebraic model of transitive differential geometry
• Élie Cartan and his mathematical work
• Sur la structure des groupes infinis de transformations.
• Sur la structure des groupes infinis de transformations.

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