e/Split-biquaternion

Information
has gloss	eng: In mathematics, a split-biquaternion is a member of the Clifford algebra Cℓ0,3(R). This is the geometric algebra generated by three orthogonal imaginary unit basis directions, e1, e2, e3} under the combination rule ::e_i e_j = \Bigg\ \beginmatrix} -1 & i=j, \\ - e_j e_i & i \not = j \endmatrix} giving an algebra spanned by the 8 basis elements 1, e1, e2, e3, e1e2, e2e3, e3e1, e1e2e3}, with (e1e2)2 = (e2e3)2 = (e3e1)2 = −1 and (ω = e1e2e3)2 = +1.
lexicalization	eng: split-biquaternion
instance of	e/Quaternion