On the classification of unitary matrices

Gongopadhyay, Krishnendu; Parker, John R.; Parsad, Shiv

Abstract

We classify the dynamical action of matrices in SU(p,q) using the coefficients of their characteristic polynomial. This generalises earlier work of Goldman for SU(2,1) and the classical result for SU(1,1), which is conjugate to SL(2,R). As geometrical applications, we show how this enables us to classify automorphisms of real and complex hyperbolic space and anti de Sitter space.

Citation

Gongopadhyay, K., Parker, J. R., & Parsad, S. (2015). On the classification of unitary matrices. Osaka Journal of Mathematics, 52(4), 959-993

• Journal Article Type: Article
• Publication Date: Oct 1, 2015
• Deposit Date: Oct 20, 2014
• Publicly Available Date: Oct 21, 2014
• Journal: Osaka journal of mathematics
• Print ISSN: 0030-6126
• Publisher: Departments of Mathematics of Osaka University and Osaka City University
• Peer Reviewed: Peer Reviewed
• Volume: 52
• Issue: 4
• Pages: 959-993
• Public URL: https://durham-repository.worktribe.com/output/1421435
• Publisher URL: http://projecteuclid.org/euclid.ojm/1447856028