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Reversible complex hyperbolic isometries

Gongopadhyay, Krishnendu; Parker, John R

Reversible complex hyperbolic isometries Thumbnail


Krishnendu Gongopadhyay


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).


Gongopadhyay, K., & Parker, J. R. (2013). Reversible complex hyperbolic isometries. Linear Algebra and its Applications, 438(6), 2728-2739.

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
Keywords Reversible elements, Unitary group, Complex hyperbolic isometry.


Accepted Journal Article (244 Kb)

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.

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