Algebraic Properties
The biquaternions have two conjugations:
- the quaternion conjugation, and
- the complex conjugation of quaternion coefficients
where when
Note that
Clearly, if then q is a zero divisor. Otherwise is defined over the complex numbers. Further, is easily verified. This allows an inverse to be defined as follows:
- , iff
Read more about this topic: Biquaternion
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