Cartan–Dieudonné theorem
In mathematics, the Cartan–Dieudonné theorem, named after Élie Cartan and Jean Dieudonné, establishes that every orthogonal transformation in an n-dimensional symmetric bilinear space can be described as the composition of at most n reflections.
known for
3D rotation groupCartan's theoremCartan-Dieudonne TheoremCartan-Dieudonne theoremCartan-Dieudonné TheoremCartan-Dieudonné theoremCartan–Dieudonne theoremClifford algebraConformal geometryGeometric algebraJean DieudonnéList of theoremsList of things named after Élie CartanOrthogonal groupReflection (mathematics)Reflection groupRotations and reflections in two dimensionsSymmetry (geometry)
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Cartan–Dieudonné theorem
In mathematics, the Cartan–Dieudonné theorem, named after Élie Cartan and Jean Dieudonné, establishes that every orthogonal transformation in an n-dimensional symmetric bilinear space can be described as the composition of at most n reflections.
has abstract
In de wiskunde is de stelling ...... ymmetrische bilineare ruimten.
@nl
In mathematics, the Cartan–Die ...... that represent 4 reflections.
@en
Le théorème de Cartan–Dieudonn ...... notamment vectoriel et affine.
@fr
Теорема Картана — Дьёдонне — т ...... имер, евклидова пространства).
@ru
嘉当-迪奥多内定理,乃数学中以埃利·嘉当与让·迪厄多内命名的定理,此定理所涉及的是对称双线性形式的自同构群。
@zh
数学において、カルタン・デュドネの定理(カルタンデュドネのて ...... )とは、対称双一次空間の自己同型群の構造に関する定理である。
@ja
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In de wiskunde is de stelling ...... ymmetrische bilineare ruimten.
@nl
In mathematics, the Cartan–Die ...... tion of at most n reflections.
@en
Le théorème de Cartan–Dieudonn ...... notamment vectoriel et affine.
@fr
Теорема Картана — Дьёдонне — т ...... имер, евклидова пространства).
@ru
嘉当-迪奥多内定理,乃数学中以埃利·嘉当与让·迪厄多内命名的定理,此定理所涉及的是对称双线性形式的自同构群。
@zh
数学において、カルタン・デュドネの定理(カルタンデュドネのて ...... )とは、対称双一次空間の自己同型群の構造に関する定理である。
@ja
label
Cartan–Dieudonné theorem
@en
Satz von Cartan-Dieudonné
@de
Stelling van Cartan-Dieudonné
@nl
Théorème de Cartan-Dieudonné
@fr
Теорема Картана — Дьёдонне
@ru
カルタン・デュドネの定理
@ja
嘉当-迪厄多内定理
@zh