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Quaternion algebra
In mathematics, a quaternion algebra over a field F is a particular kind of central simple algebra A over F, namely such an algebra that has dimension 4, and therefore becomes the 2Ă—2 matrix algebra over some field extension of F, by extending scalars. The classical quaternions are the case of F the real number field, and A is uniquely defined up to isomorphism by the condition that it is such a quaternion algebra that is not the 2Ă—2 real matrix algebra.
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