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

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

In mathematics, Cartan's theorems A and B are two results proved by Henri Cartan around 1951, concerning a coherent sheaf F on a Stein manifold X. They...

In mathematics, Cartan's criterion gives conditions for a Lie algebra in characteristic 0 to be solvable, which implies a related criterion for the Lie...

From a very young age he was an outstanding figure in the school of Henri Cartan, working on algebraic topology, several complex variables and then commutative...

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

In mathematics, the Cartan–Kähler theorem is a major result on the integrability conditions for differential systems, in the case of analytic functions...

Stadt July 25 Sheldonian Theatre (Oxford) Marcel Delannoy Otto Jokl Jean Cartan Eugene Aynsley Goossens Mario Pilati String Quartet Piano Sonatina Sonatina...

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

cohomologie des algèbres de Lie, was written in 1950 under the direction of Henri Cartan. He lectured at many universities and was appointed in 1963 professor in...

modern analysis textbook. The group's core founders were Cartan, Claude Chevalley, Jean Delsarte, Jean Dieudonné and Weil; others participated briefly during...

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...

Jean Alexandre Eugène Dieudonné (French: [ʒɑ̃ alɛksɑ̃dʁ øʒɛn djødɔne]; 1 July 1906 – 29 November 1992) was a French mathematician, notable for research...

representations σχ. If G is a connected Lie group, then, thanks to the work of Cartan, Malcev, Iwasawa and Chevalley, G has a maximal compact subgroup, unique...

"Biography of Jean Coulomb" (in French). COFRHIGEO. Retrieved 21 April 2013. Beaulieu, Liliane. "Bourbaki à Nancy" (PDF) (in French). Institut Élie Cartan. Archived...

Tome III Les Musiciens de l'Espérance, André Caplet, Lili Boulanger, Jean Cartan, Éditions Labergerie-Mame Chevalier dans l'Ordre des Palmes Académiques...

mathematics in 1950, he obtained a doctorate with thesis supervised by Henri Cartan. Cerf became a maître de conférences at the University of Lille and was...

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 used...

literature of the second half of 20th century) Cartan's or the Cartan-Lie theorem as it was proved by Élie Cartan. Sophus Lie had previously proved the infinitesimal...

geometry. (See, for example, (Cartan 1926) and (Cartan 1983).) Furthermore, using the dynamics of Gaston Darboux, Cartan was able to generalize the notion...

Peccot-Vimont of the Collège de France. In 2002, he received the Prix Élie Cartan of the Académie des sciences. In 1986 he was an invited speaker at the International...

Zbl 0053.05302. Cartan, H.; Bruhat, F.; Cerf, Jean.; Dolbeault, P.; Frenkel, Jean.; Hervé, Michel; Malatian.; Serre, J-P. "Séminaire Henri Cartan, Tome 4 (1951-1952)"...

pullback the Maurer-Cartan form of G to M (or P), and thus obtain a complete set of structural invariants for the manifold. Cartan (1937) formulated the...

the domain of ω {\displaystyle \omega } and is not true in general. Élie Cartan himself in 1922 gave a counterexample, which provided one of the impulses...

geometry entitled Variété localement plates under the supervision of Henri Cartan. From 1959 until 1960 he did conscripted military service in the Operational...

analysis. Montel was a student of Émile Borel at the Sorbonne. Henri Cartan, Jean Dieudonné and Miron Nicolescu were among his students. Montel's most...

concept. A textbook treatment of homological algebra, "Cartan–Eilenberg" after the authors Henri Cartan and Samuel Eilenberg, appeared in 1956. Grothendieck's...

called the rank. We call B the (standard) Borel subgroup, T the (standard) Cartan subgroup, and W the Weyl group. A subgroup of G is called parabolic if it...

action of a certain distinguished subalgebra on it, a Cartan subalgebra. By definition, a Cartan subalgebra (also called a maximal toral subalgebra) h...

capital, she defends the music of Georges Auric. (Alphabet, June 5, 1923), Jean Cartan [fr] (Trois chants d'été, February 13, 1928), Erik Satie (Socrates, June...