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About: Quaternion algebra     Goto   Sponge   NotDistinct   Permalink

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Type: yago:Abstraction100002137yago:Algebra106012726yago:Cognition100023271yago:Content105809192yago:DefiniteQuantity113576101yago:Digit113741022yago:Discipline105996646yago:Four113744304yago:Integer113728499yago:KnowledgeDomain105999266yago:Mathematics106000644yago:Measure100033615yago:Number113582013yago:PsychologicalFeature100023100yago:PureMathematics106003682yago:Science105999797yago:WikicatAlgebrasyago:WikicatQuaternions New Facet based on Instances of this Class

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 a matrix algebra by extending scalars (equivalently, 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.