Reversible complex hyperbolic isometries

Gongopadhyay, Krishnendu; Parker, John R

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
• Electronic ISSN: 1873-1856
• 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.
• Public URL: https://durham-repository.worktribe.com/output/1498467