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 Name | Project ID | Funding Body |
|---|
| Not Set | Not Set | Science 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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