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...

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...

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...

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

∈ 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...

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...

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

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

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...

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...

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...

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

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...

as well as a generalization, of Newtonian gravity first introduced by Élie Cartan in 1923 and Kurt Friedrichs and later developed by G. Dautcourt, W. G...

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

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...

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...

embedding. One of several results known as Cartan's theorem, it was first published in 1930 by Élie Cartan, who was inspired by John von Neumann's 1929...

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)...

manifolds. The modern notion of differential forms was pioneered by Élie Cartan. It has many applications, especially in geometry, topology and physics...

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

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

forms. It is also called the Cartan homotopy formula or Cartan magic formula. This formula is named after Élie Cartan. The Cartan formula in algebraic topology...

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

In mathematics, the Cartan–Dieudonné theorem, named after Élie Cartan and Jean Dieudonné, establishes that every orthogonal transformation in an n-dimensional...

the areas of mathematics, and was worked out by Wilhelm Killing and Élie Cartan. The foundation of Lie theory is the exponential map relating Lie algebras...

librarian of Marsh's Library Élie Brousse (1921–2019), French rugby league footballer Élie Cartan (1869–1951), French mathematician Élie Castor (1943–1996), French...

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