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.

URL: http://www.heldermann.de/CMF/CMF09/CMF091/cmf09002...

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.

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About

• Item ORO ID
• 22460
• Item Type
• Journal Item
• 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 or School
• Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
  Faculty of Science, Technology, Engineering and Mathematics (STEM)
• Copyright Holders
• © 2009 Heldermann Verlag
• Related URLs
• • http://maths.dur.ac.uk/~dma0jrp/img/quat...(Other)
• Depositing User
• Ian Short