Gongopadhyay, Krishnendu and Parker, John R. and Parsad, Shiv (2015) 'On the classification of unitary matrices.', Osaka journal of mathematics., 52 (4). pp. 959-993.
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.
| Item Type: | Article |
|---|---|
| Full text: | (AM) Accepted Manuscript Download PDF (457Kb) |
| Full text: | (VoR) Version of Record Download PDF (538Kb) |
| Status: | Peer-reviewed |
| Publisher Web site: | http://projecteuclid.org/euclid.ojm/1447856028 |
| Date accepted: | No date available |
| Date deposited: | 21 October 2014 |
| Date of first online publication: | October 2015 |
| Date first made open access: | No date available |
Save or Share this output
| Export: | |
| Look up in GoogleScholar |
