Parker, John R. and Short, Ian (2009) 'Conjugacy classification of quaternionic Möbius transformations.', Computational methods and function theory., 9 (1). pp. 13-25.
Abstract
It is well known that the dynamics and conjugacy class of a complex Möbius transformation can be determined from a simple rational function of the coefficients of the transformation. We study the group of quaternionic Möbius transformations and identify simple rational functions of the coefficients of the transformations that determine dynamics and conjugacy.
| Item Type: | Article |
|---|---|
| Keywords: | Möbius transformations, Quaternions, Conjugacy, Dynamics. |
| Full text: | (VoR) Version of Record Download PDF (262Kb) |
| Status: | Peer-reviewed |
| Publisher Web site: | http://www.heldermann.de/CMF/CMF09/CMF091/cmf09002.htm |
| Date accepted: | No date available |
| Date deposited: | 03 January 2013 |
| Date of first online publication: | January 2009 |
| Date first made open access: | No date available |
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