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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.

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:PDF - Published Version (262Kb)
Status:Peer-reviewed
Publisher Web site:http://www.heldermann.de/CMF/CMF09/CMF091/cmf09002.htm
Record Created:06 Nov 2009 10:50
Last Modified:03 Jan 2013 11:58

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