One of a pair of quaternions that can be expressed as q = s + ia + jb + kc and q̄ = s- (ia + jb + kc), where s, a, b, and c are real numbers and i, j, and k are generators of the quaternions.
The conjugate quaternion q' = w - xi - yj - zk and its corresponding matrix would represent the same group operation in the conjugate unitary plane for the antiparticles.
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