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http://hdl.handle.net/123456789/3081| Title: | On the classifications of unitary matrices |
| Authors: | Gongopadhyay, Krishnendu Parker, J.R. Parsad, Shiv |
| Keywords: | matrices in SU(p,q) coefficients SU(2,1) SU(1,1) |
| Issue Date: | 2015 |
| Publisher: | Osaka University |
| Citation: | Osaka Journal of Mathematics, 52(4) pp. 959-991 |
| 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. |
| URI: | https://projecteuclid.org/euclid.ojm/1447856028 http://hdl.handle.net/123456789/3081 |
| Appears in Collections: | Research Articles |
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