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Biquaternion algebra : ウィキペディア英語版
Biquaternion algebra
In mathematics, a biquaternion algebra is a compound of quaternion algebras over a field.
The biquaternions of William Rowan Hamilton (1844) and the related split-biquaternions and dual quaternions do not form biquaternion algebras in this sense.
==Definition==
Let ''F'' be a field of characteristic not equal to 2.
A ''biquaternion algebra'' over ''F'' is a tensor product of two quaternion algebras.〔Lam (2005) p.60〕〔Szymiczek (1997) p.452〕
A biquaternion algebra is a central simple algebra of dimension 16 and degree 4 over the base field: it has exponent (order of its Brauer class in the Brauer group of ''F'') equal to 1 or 2.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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