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- Quaternion_algebra abstract "In mathematics, a quaternion algebra over a field F is a central simple algebra A over F that has dimension 4 over F. Every quaternion algebra becomes the matrix algebra by extending scalars (=tensoring with a field extension), i.e. for a suitable field extension K of F, is isomorphic to the 2×2 matrix algebra over K. The notion of a quaternion algebra can be seen as a generalization of the Hamilton quaternions to an arbitrary base field. The Hamilton quaternions are a quaternion algebra (in the above sense) over (the real number field), and indeed the only one over ℝ apart from the 2×2 real matrix algebra, up to isomorphism.".
- Quaternion_algebra wikiPageID "2776890".
- Quaternion_algebra wikiPageRevisionID "606054096".
- Quaternion_algebra hasPhotoCollection Quaternion_algebra.
- Quaternion_algebra subject Category:Algebras.
- Quaternion_algebra subject Category:Quaternions.
- Quaternion_algebra type Abstraction100002137.
- Quaternion_algebra type Algebra106012726.
- Quaternion_algebra type Algebras.
- Quaternion_algebra type Cognition100023271.
- Quaternion_algebra type Content105809192.
- Quaternion_algebra type DefiniteQuantity113576101.
- Quaternion_algebra type Digit113741022.
- Quaternion_algebra type Discipline105996646.
- Quaternion_algebra type Four113744304.
- Quaternion_algebra type Integer113728499.
- Quaternion_algebra type KnowledgeDomain105999266.
- Quaternion_algebra type Mathematics106000644.
- Quaternion_algebra type Measure100033615.
- Quaternion_algebra type Number113582013.
- Quaternion_algebra type PsychologicalFeature100023100.
- Quaternion_algebra type PureMathematics106003682.
- Quaternion_algebra type Quaternions.
- Quaternion_algebra type Science105999797.
- Quaternion_algebra comment "In mathematics, a quaternion algebra over a field F is a central simple algebra A over F that has dimension 4 over F. Every quaternion algebra becomes the matrix algebra by extending scalars (=tensoring with a field extension), i.e. for a suitable field extension K of F, is isomorphic to the 2×2 matrix algebra over K. The notion of a quaternion algebra can be seen as a generalization of the Hamilton quaternions to an arbitrary base field.".
- Quaternion_algebra label "Algèbre de quaternions".
- Quaternion_algebra label "Quaternion algebra".
- Quaternion_algebra label "四元数環".
- Quaternion_algebra sameAs Algèbre_de_quaternions.
- Quaternion_algebra sameAs 四元数環.
- Quaternion_algebra sameAs m.08227n.
- Quaternion_algebra sameAs Q2835967.
- Quaternion_algebra sameAs Q2835967.
- Quaternion_algebra sameAs Quaternion_algebra.
- Quaternion_algebra wasDerivedFrom Quaternion_algebra?oldid=606054096.
- Quaternion_algebra isPrimaryTopicOf Quaternion_algebra.