Quaternionic analysis: Difference between revisions

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Then up = az, with <math>\begin{pmatrix}u & 0 \\ az & u \end{pmatrix} </math> as the homography expressing [[conjugation (group theory)|conjugation]] of a rotation by a translation p.
 
=== Linear map ===
The map <math>f:\mathbb H\rightarrow \mathbb H</math>
of quaternion algebra is called linear, if following equalities hold