Conjugacy classification of quaternionic Möbius transformations

Parker, John R.; Short, Ian

doi:10.1007/bf03321711

Conjugacy classification of quaternionic Möbius transformations

Parker, John R.; Short, Ian

Authors

Professor John Parker j.r.parker@durham.ac.uk
Professor

Ian Short

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.

Citation

Parker, J. R., & Short, I. (2009). Conjugacy classification of quaternionic Möbius transformations. Computational Methods and Function Theory - Springer, 9(1), 13-25. https://doi.org/10.1007/bf03321711

Journal Article Type	Article
Publication Date	Jan 1, 2009
Deposit Date	Nov 6, 2009
Publicly Available Date	Jan 3, 2013
Journal	Computational Methods and Function Theory - Springer
Print ISSN	1617-9447
Publisher	Springer
Peer Reviewed	Peer Reviewed
Volume	9
Issue	1
Pages	13-25
DOI	https://doi.org/10.1007/bf03321711
Keywords	Möbius transformations, Quaternions, Conjugacy, Dynamics.
Publisher URL	http://www.heldermann.de/CMF/CMF09/CMF091/cmf09002.htm