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Zbl 1158.15014
Parker, John R.; Short, Ian
Conjugacy classification of quaternionic Möbius transformations. (English)
[J] Comput. Methods Funct. Theory 9, No. 1, 13-25 (2009). ISSN 1617-9447

It is well known that the dynamics and conjugacy classes of a complex Möbius transformation can be determined from a single rational function of the coefficients of the transformation. The authors study the group of quaternionic Möbius transformations and identify simple rational functions of the coefficients of the transformations that determine dynamics and conjugacy.
[A. Arvanitoyeorgos (Patras)]
MSC 2000:
*15A33 Matrices over special rings
51B10 Moebius geometries
15A04 Linear transformations (linear algebra)

Keywords: Möbius transformations; quaternions; conjugacy; dynamics

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