orthogonal group
Sign in to saveAlso known as O(n), general orthogonal group
mathematical group consisting of transformations of a Euclidean space which preserve distance and a fixed point
In the Vinony graph
Within Vinony's link graph, orthogonal group is referenced by 550 other articles, and connects out to group action, Euclidean space and quadratic form.
Vinony files it under Euclidean symmetries, Lie groups and Linear algebraic groups.
Its subject is documented across 22 Wikipedia language editions.
Wikidata facts
- Subclass of
- compact Lie group
Show 2 more facts
- studied by
- Lie theory
- maintained by WikiProject
- WikiProject Mathematics
Sources (3)
via Wikidata · CC0
Connections
group action
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Euclidean space
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quadratic form
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integer
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similarity
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homothetic transformation
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Lie group
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cyclic group
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connected space
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orthogonal matrix
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reflection
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topological group
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center
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Coxeter group
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covering space
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rotation group SO(3)
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up to
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multiplicative group
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mathematics
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International Standard Book Number
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