orthogonal group
mathematical group consisting of transformations of a Euclidean space which preserve distance and a fixed point
Facts
4 properties- Defining formula
- \operatorname{O}_n(\mathbb{K})=\{A\in\mathbb{K}^{n\times n}|A^T A=AA^T =I_n\}[5]
- Maintained by WikiProject
- WikiProject Mathematics[8]
- Studied by
- group theory, Lie theory[6][7]
🏷️ Also known as
en O(n)
en orthogonal group
en general orthogonal group
ar زمرة متعامدة
cs ortogonální grupa
de orthogonale Gruppe
de O(n)
es grupo ortogonal
es grupo ortogonal general
es O(n)
fr groupe orthogonal
he החבורה האורתוגונלית
he חבורה אורתוגונלית
it gruppi ortogonali
it gruppo ortogonale
ja スピノルノルム
ja SO群
ja ディクソン不変量
ja 安定ホモトピー群
ja 特殊直交群
🔖 Identifiers · 8
- OpenAlex ID
- C146561895
- Encyclopedia of Mathematics article ID
- Orthogonal_group
- Freebase ID
- /m/017gp1
- Group Properties article ID
- Orthogonal_group_for_a_symmetric_bilinear_form, Orthogonal_group
- MathWorld ID
- OrthogonalGroup
- Microsoft Academic ID (discontinued)
- 146561895
- NLab ID
- orthogonal group
- ProofWiki ID
- Definition:Orthogonal_Group
🔗 Connections
Subclass of 4
Studied by 2
Maintained by WikiProject 1
Subtypes 1
← Invariant under 1
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