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Conjugacy classification of quaternionic Möbius transformations

Parker, John R. and Short, Ian (2009). Conjugacy classification of quaternionic Möbius transformations. Computational Methods and Function Theory, 9(1) pp. 13–25.

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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: Journal Article
Copyright Holders: 2009 Heldermann Verlag
ISSN: 1617-9447
Project Funding Details:
Funded Project NameProject IDFunding Body
Not SetNot SetScience Foundation Ireland grant 05/RFP/MAT0003
Keywords: Möbius transformations; quaternions; conjugacy; dynamics
Academic Unit/Department: Mathematics, Computing and Technology > Mathematics and Statistics
Related URLs:
Item ID: 22460
Depositing User: Ian Short
Date Deposited: 29 Jul 2010 11:44
Last Modified: 03 Dec 2012 15:31
URI: http://oro.open.ac.uk/id/eprint/22460
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