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Reversible complex hyperbolic isometries.

Gongopadhyay, Krishnendu and Parker, John R. (2013) 'Reversible complex hyperbolic isometries.', Linear algebra and its applications., 438 (6). pp. 2728-2739.


Let PU(n,1) denote the isometry group of the n-dimensional complex hyperbolic space hn. An isometry g is called reversible if g is conjugate to g-1 in PU(n,1). If g can be expressed as a product of two involutions, it is called strongly reversible. We classify reversible and strongly reversible elements in PU(n,1). We also investigate reversibility and strong reversibility in SU(n,1).

Item Type:Article
Keywords:Reversible elements, Unitary group, Complex hyperbolic isometry.
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Publisher statement:NOTICE: this is the author’s version of a work that was accepted for publication in Linear algebra and its applications. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Linear algebra and its applications, 438, 6, 2013, 10.1016/j.laa.2012.11.029.
Date accepted:No date available
Date deposited:27 March 2013
Date of first online publication:March 2013
Date first made open access:No date available

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