U(1)
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set of complex numbers whose absolute value is equal 1; Lie group of complex numbers of unit modulus; topologically a circle
In the Vinony graph
Vinony's link graph records 298 inbound references to U(1), and connects out to real number, Lie group and root of unity.
It is catalogued under the topic Lie groups.
Vinony links it to 17 Wikipedia language editions.
Wikidata facts
- Instance of
- compact Lie group
- Subclass of
- complex number
- Followed by
- rotation group SO(3)
- Image
- Circle as Lie group.svg
Show 4 more facts
- has characteristic
- magnitude of a complex number
- studied by
- Lie theory
- maintained by WikiProject
- WikiProject Mathematics
- Commons category
- Complex unit circle
Sources (1)
via Wikidata · CC0
Article · Русский
(унитарная группа порядка 1) в математике — мультипликативная абелева группа всех комплексных чисел, равных по модулю единице: . Является также одномерной группой Ли и представляет собой окружность. Изоморфна группе вращений двумерного вещественного пространства.
Abstract from DBpedia / Wikipedia · CC BY-SA
Connections
real number
Entity
Lie group
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root of unity
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cyclic group
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closed set
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kernel
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topological group
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orthogonal group
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One-parameter group
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mathematics
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physics
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International Standard Book Number
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natural number
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complex number
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angle
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integer
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Henri Poincaré
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digital object identifier
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symmetry
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vector space
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