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

coherent sheaf on a Stein manifold Cartan's lemma, several results by Élie or Henri Cartan Cartan–Dieudonné theorem, a result on orthogonal transformations...

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

MR 0478177 Dieudonné, Jean (1981), Choix d'œuvres mathématiques. Tome I (in French), Paris: Hermann, ISBN 978-2-7056-5922-6, MR 0611149 Dieudonné, Jean (1981)...

Carlson's theorem (complex analysis) Carmichael's theorem (Fibonacci numbers) Carnot's theorem (geometry) Carnot's theorem (thermodynamics) Cartan–Dieudonné theorem...

While the orthogonal group is generated by reflections (by the Cartan–Dieudonné theorem), it is a continuous group (indeed, Lie group), not a discrete...

theory Cartan–Ambrose–Hicks theorem Cartan–Brauer–Hua theorem Cartan–Dieudonné theorem Cartan–Hadamard manifold Cartan–Hadamard theorem Cartan–Iwahori...

onto the orthogonal group of V with respect to the form (by the Cartan–Dieudonné theorem) and the kernel consists of the nonzero elements of the field K...

respectively. The Cartan–Dieudonné theorem expresses a similar idea in dimensions other than three. Kumar, V. "MEAM 520 notes: The theorems of Euler and Chasles"...

map and a rigid transformation. 2D computer graphics#Rotation Cartan–Dieudonné theorem Clockwise Dihedral group Euclidean plane isometry Euclidean symmetries...

books of Henri Cartan, Jean Dieudonné, Serge Lang, Roger Godement and Lars Hörmander. Here is a proof based on the contraction mapping theorem. Specifically...

generate the orthogonal group, and this result is known as the Cartan–Dieudonné theorem. Similarly the Euclidean group, which consists of all isometries...

are generated by inversions in geodesic hyperspheres (see the Cartan–Dieudonné theorem.) The Euclidean sphere can be mapped to the conformal sphere in...

account is possibly the shortest. Dieudonné 1960, pp. 179–180. Godement 1998b, pp. 287–289. Lang 1969, pp. 108–111. Cartan 1971, pp. 64–67. Hörmander 2015...

types of object invariance that are possible in geometry. By the Cartan–Dieudonné theorem, an orthogonal transformation in n-dimensional space can be represented...

from the above canonical form and the case of dimension two. The Cartan–Dieudonné theorem is the generalization of this result to the orthogonal group of...

rotation is the composition of two reflections, a special case of the Cartan–Dieudonné theorem. The finite subgroups of S O ( 3 ) {\displaystyle \mathrm {SO}...

origin are mapped to k-spheres centered at the origin. By the Cartan–Dieudonné theorem, every orthogonal transformation in an n-dimensional space can...

results such as Darboux's theorem and the Cartan-Kähler theorem. Despite being named for Ferdinand Georg Frobenius, the theorem was first proven by Alfred...

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

transformation can be expressed as a composition of reflections (the Cartan–Dieudonné theorem), it follows that this representation of the pin group is a homomorphism...

hilbertiennes. Dieudonné 1978. Godement 1952. Helgason 2001. Helgason 1984. Lang 1985. Cartier 1954–1955. Hochschild 1965. Dieudonné 1978, pp. 55–57. Dieudonné 1977...

perform group theoretic calculations based on the versor theorem and the Cartan-Dieudonné theorem ... shed[ding] light on geometric aspects of the H4 root...

algebras. Cartan, Chapitre IV, Théorème 1 Cartan, Élie (1894), Sur la structure des groupes de transformations finis et continus, Thesis, Nony Dieudonné, Jean...

physical significance can be attached to such operations. By the Cartan–Dieudonné theorem we have that every isometry can be given as reflections in hyperplanes...

called the Euclidean Group, E ( 3 ) {\displaystyle E(3)} . By the Cartan–Dieudonné theorem, any element of it can be written as a series of reflections in...

perform group theoretic calculations based on the versor theorem and the Cartan-Dieudonné theorem ... shed[ding] light on geometric aspects of the H4 root...

Hindustan Book Agency. ISBN 978-93-86279-67-5. MR 3887626. Dieudonné, Jean (1982). "8. Les théorèmes de Brouwer". Éléments d'analyse. Cahiers Scientifiques...

following sequence of results. Complex analysis was revolutionized by Cartan's theorems A and B in 1953. These results say that if F {\displaystyle {\mathcal...

Bibcode:2003math......6194B Cartan, Henri (2006), Differential Forms, Dover, ISBN 0-486-45010-4—Translation of Formes différentielles (1967) Dieudonné, Jean (1972),...