Reversible complex hyperbolic isometries

Gongopadhyay, Krishnendu; Parker, John R

doi:10.1016/j.laa.2012.11.029

Reversible complex hyperbolic isometries

Gongopadhyay, Krishnendu; Parker, John R

Authors

Krishnendu Gongopadhyay

Professor John Parker j.r.parker@durham.ac.uk
Professor

Abstract

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).

Citation

Gongopadhyay, K., & Parker, J. R. (2013). Reversible complex hyperbolic isometries. Linear Algebra and its Applications, 438(6), 2728-2739. https://doi.org/10.1016/j.laa.2012.11.029

Journal Article Type	Article
Publication Date	Mar 1, 2013
Deposit Date	Jan 23, 2013
Publicly Available Date	Mar 27, 2013
Journal	Linear Algebra and its Applications
Print ISSN	0024-3795
Publisher	Elsevier
Peer Reviewed	Peer Reviewed
Volume	438
Issue	6
Pages	2728-2739
DOI	https://doi.org/10.1016/j.laa.2012.11.029
Keywords	Reversible elements, Unitary group, Complex hyperbolic isometry.

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Copyright 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.