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- X)-manifold are special cases of Γ-structures, for suitable pseudogroups Γ. In general, pseudogroups were studied as a possible theory of infinite-dimensional…12 kB (1358 palabras) - 22:02 18 dic 2023
- Élie Cartan (sección Lie pseudogroups)(the contact pseudogroup). There are similar classes of pseudogroups for primitive pseudogroups of real transformations defined by analytic functions of…28 kB (3369 palabras) - 15:26 26 abr 2024
- extended this classification to a larger class of pseudogroups: the primitive infinite pseudogroups. As a by-product, they also obtained the "integrability…19 kB (1870 palabras) - 00:15 24 may 2024
- In this case the local description leads to the theory of analytic pseudogroups, formalizing the theory of infinite-dimensional groups and Lie algebras…45 kB (6967 palabras) - 22:19 8 jun 2024
- Differentiable manifold (sección Pseudogroups)pseudogroups. An atlas (Ui, φi) of homeomorphisms φi from Ui ⊂ M to open subsets of a topological space S is said to be compatible with a pseudogroup…67 kB (9509 palabras) - 13:12 2 oct 2023
- Cartan connection (sección Pseudogroups)was to study the properties of pseudogroups from an infinitesimal point of view. A Cartan connection defines a pseudogroup precisely when the derivative…46 kB (6745 palabras) - 06:21 29 ene 2023
- show existence theorems for holomorphic functions. He later worked on pseudogroups and their deformation theory, based on a fresh approach to overdetermined…7 kB (611 palabras) - 05:12 29 nov 2023
- MR 1324140 Walczak, Paweł (2004), Dynamics of foliations, groups and pseudogroups, Instytut Matematyczny Polskiej Akademii Nauk. Monografie Matematyczne…1 kB (123 palabras) - 17:12 13 oct 2021
- compatible. These notions are made precise in general through the use of pseudogroups. A manifold with boundary is a manifold with an edge. For example, a…68 kB (9507 palabras) - 06:13 28 may 2024
- MR 1324140 Walczak, Paweł (2004), Dynamics of foliations, groups and pseudogroups, Instytut Matematyczny Polskiej Akademii Nauk. Monografie Matematyczne…1 kB (121 palabras) - 04:20 19 may 2024
- maps are bilipschitz; this is possible because bilipschitz maps form a pseudogroup. Such a structure allows one to define locally Lipschitz maps between…18 kB (2622 palabras) - 11:40 4 jun 2024
- {\displaystyle C^{k}} . Very generally, if each transition function belongs to a pseudogroup G {\displaystyle {\mathcal {G}}} of homeomorphisms of Euclidean space…8 kB (1104 palabras) - 16:33 11 jun 2024
- of compact matrix quantum groups, which he initially called compact pseudogroups. Compact matrix quantum groups are abstract structures on which the "continuous…9 kB (1633 palabras) - 05:15 28 nov 2023
- Zakrzewski, S. (1990). "Quantum and classical pseudogroups. II. Differential and symplectic pseudogroups". Communications in Mathematical Physics. 134…61 kB (9227 palabras) - 20:15 29 may 2024
- MR 1324140 Walczak, Paweł (2004), Dynamics of foliations, groups and pseudogroups, Instytut Matematyczny Polskiej Akademii Nauk. Monografie Matematyczne…2 kB (207 palabras) - 13:45 8 abr 2022
- functions on the concrete compact group SU(2). Whereas compact matrix pseudogroups are typically versions of Drinfeld-Jimbo quantum groups in a dual function…30 kB (4983 palabras) - 22:18 1 may 2024
- masked all noise. They then asked them to shout both in actual groups and pseudogroups in which they shouted alone but believed they were shouting with others…53 kB (7265 palabras) - 10:24 11 ene 2024
- Analysis Atiyah–Singer index theorem Geometric analysis Lie groupoid Pseudogroup Morse theory Structural stability Harmonic map Smale, S. (January 1969)…3 kB (230 palabras) - 03:19 5 sep 2023
- Mathieu groupoid (redirección desde Mathieu pseudogroup)Elkies, Noam D.; Martin, Jeremy L. (2006), "The Mathieu group M12 and its pseudogroup extension M13", Experimental Mathematics, 15 (2): 223–236, arXiv:math/0508630…3 kB (358 palabras) - 06:06 7 may 2024
- symplectomorphisms from a manifold back onto itself form an infinite-dimensional pseudogroup. The corresponding Lie algebra consists of symplectic vector fields.…9 kB (1104 palabras) - 03:07 4 mar 2024
- in relative isolation. In 1954 he published his own treatment of the pseudogroup problem that is in effect the touchstone of Cartan's geometric theory…53 kB (6145 palabras) - 22:23 13 may 2024