Élie Joseph Cartan ForMemRS (French: [kaʁtɑ̃]; 9 April 1869 – 6 May 1951) was an influential French mathematician who did fundamental work in the theory...

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...

mathematician Élie Cartan, nephew of mathematician Anna Cartan, oldest brother of composer Jean Cartan [fr; de], physicist Louis Cartan [fr] and mathematician...

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...

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...

∈ 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...

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...

French mathematician Élie Cartan in 1976. Before, it was designated Apollonius D. LTO-62D2 Daly — L&PI topographic map "Cartan (crater)". Gazetteer of...

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...

as well as a generalization, of Newtonian gravity first introduced by Élie Cartan and Kurt Friedrichs and later developed by G. Dautcourt, W. G. Dixon...

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...

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...

after Élie Cartan (9 April 1869 – 6 May 1951), a French mathematician. Cartan calculus Cartan connection, Cartan connection applications Cartan's criterion...

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...

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...

Cartan's identity is important in symplectic geometry and general relativity: see moment map. The Cartan homotopy formula is named after Élie Cartan....

semisimple Lie groups and Lie algebras have been completely classified by Élie Cartan. Using the Lie correspondence between Lie groups and Lie algebras, the...

220–239. Élie Cartan (1908). "Nombres complexes". Encyclopedie des Sciences Mathematiques. Paris: Gauthier-Villars. pp. 329–468. Élie Cartan (1914), "Les...

Cartan connections describe the geometry of manifolds modelled on homogeneous spaces. The theory of Cartan connections was developed by Élie Cartan,...

{d} \omega \,.} Stokes' theorem was formulated in its modern form by Élie Cartan in 1945, following earlier work on the generalization of the theorems...

and in higher dimensions to Christoffel and perhaps Riemann as well, Élie Cartan and his intellectual heirs developed a technique for answering similar...

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...

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...

trace of a linear operator. The criterion was introduced by Élie Cartan (1894). Cartan's criterion for solvability states: A Lie subalgebra g {\displaystyle...

quasigroup, for example). The modern theory of pseudogroups was developed by Élie Cartan in the early 1900s. A pseudogroup imposes several conditions on sets...

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...

and this work was later perfected by Élie Cartan. The final classification is often referred to as Killing-Cartan classification. Unfortunately, there...

In abstract algebra, the Cartan–Brauer–Hua theorem (named after Richard Brauer, Élie Cartan, and Hua Luogeng) is a theorem pertaining to division rings...

Selected Works of Joseph Fourier. Among his students were Émile Borel, Élie Cartan, Édouard Goursat, Émile Picard, Gheorghe Țițeica and Stanisław Zaremba...

Gauthier-Villars. Cartan, Élie (1983), Geometry of Riemannian Spaces, Math Sci Press, Massachusetts. Chern, S.-S. (1985), "Moving frames", Elie Cartan et les Mathematiques...