Élie Joseph Cartan ForMemRS (French: [kaʁtɑ̃]; 9 April 1869 – 6 May 1951) was an influential French mathematician who did fundamental work in the theory...
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Élie Cartan in 1922. Einstein–Cartan theory differs from general relativity in two ways: (1) it is formulated within the framework of Riemann–Cartan geometry...
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mathematician Élie Cartan, nephew of mathematician Anna Cartan, oldest brother of composer Jean Cartan [fr; de], physicist Louis Cartan [fr] and mathematician...
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The Élie Cartan Prize (Prix Élie Cartan) is awarded every three years by the Institut de France, Academie des Sciences, Fondation Élie Cartan, to recognize...
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mathematics, the term Cartan matrix has three meanings. All of these are named after the French mathematician Élie Cartan. Amusingly, the Cartan matrices in the...
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of Élie Cartan Anna Cartan (1878–1923), French mathematician and teacher, sister of Élie Cartan Cartan (crater), a lunar crater named for Élie Cartan Badea...
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infinitesimal information about the structure of G. It was much used by Élie Cartan as a basic ingredient of his method of moving frames, and bears his name...
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∈ h {\displaystyle Y\in {\mathfrak {h}}} ). They were introduced by Élie Cartan in his doctoral thesis. It controls the representation theory of a semi-simple...
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Cartan's theorem may refer to several mathematical results by Élie Cartan: Closed-subgroup theorem, 1930, that any closed subgroup of a Lie group is a...
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detail. It is also called the Cartan homotopy formula or Cartan magic formula. This formula is named after Élie Cartan. one in algebraic topology, which...
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decomposition of matrices. Its history can be traced to the 1880s work of Élie Cartan and Wilhelm Killing. Let g {\displaystyle {\mathfrak {g}}} be a real...
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as well as a generalization, of Newtonian gravity first introduced by Élie Cartan and Kurt Friedrichs and later developed by Dautcourt, Dixon, Dombrowski...
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semisimple Lie groups and Lie algebras have been completely classified by Élie Cartan. Using the Lie correspondence between Lie groups and Lie algebras, the...
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Cartan connections describe the geometry of manifolds modelled on homogeneous spaces. The theory of Cartan connections was developed by Élie Cartan,...
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after Élie Cartan (9 April 1869 – 6 May 1951), a French mathematician. Cartan calculus Cartan connection, Cartan connection applications Cartan's criterion...
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220–239. Élie Cartan (1908). "Nombres complexes". Encyclopedie des Sciences Mathematiques. Paris: Gauthier-Villars. pp. 329–468. Élie Cartan (1914), "Les...
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Interior product (redirect from Cartan homotopy formula)
Cartan's identity is important in symplectic geometry and general relativity: see moment map. The Cartan homotopy formula is named after Élie Cartan....
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French mathematician Élie Cartan in 1976. Before, it was designated Apollonius D. LTO-62D2 Daly — L&PI topographic map "Cartan (crater)". Gazetteer of...
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In abstract algebra, the Cartan–Brauer–Hua theorem (named after Richard Brauer, Élie Cartan, and Hua Luogeng) is a theorem pertaining to division rings...
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Generalized Stokes theorem (redirect from Stokes-Cartan theorem)
{d} \omega \,.} Stokes' theorem was formulated in its modern form by Élie Cartan in 1945, following earlier work on the generalization of the theorems...
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tensor calculus, but was not fully developed until the early 1920s, by Élie Cartan (as part of his general theory of connections) and Hermann Weyl (who...
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respect to a scalar product Q {\displaystyle Q} . They were introduced by Élie Cartan in the 1930s and further developed by Claude Chevalley. They are a key...
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Killing form (redirect from Cartan-Killing form)
The Killing form was essentially introduced into Lie algebra theory by Élie Cartan (1894) in his thesis. In a historical survey of Lie theory, Borel (2001)...
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functions, for differential ideals I {\displaystyle I} . It is named for Élie Cartan and Erich Kähler. It is not true that merely having d I {\displaystyle...
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relativity play the role of rotations. Spinors were introduced in geometry by Élie Cartan in 1913. In the 1920s physicists discovered that spinors are essential...
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trace of a linear operator. The criterion was introduced by Élie Cartan (1894). Cartan's criterion for solvability states: A Lie subalgebra g {\displaystyle...
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determines the metric. The theorem is named after Élie Cartan, Warren Ambrose, and his PhD student Noel Hicks. Cartan proved the local version. Ambrose proved...
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manifolds. The modern notion of differential forms was pioneered by Élie Cartan. It has many applications, especially in geometry, topology and physics...
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librarian of Marsh's Library Élie Brousse (1921–2019), French rugby league footballer Élie Cartan (1869–1951), French mathematician Élie Castor (1943–1996), French...
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quasigroup, for example). The modern theory of pseudogroups was developed by Élie Cartan in the early 1900s. A pseudogroup imposes several conditions on sets...
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