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October 2015 On the classifications of unitary matrices
Krishnendu Gongopadhyay, John R. Parker, Shiv Parsad
Osaka J. Math. 52(4): 959-993 (October 2015).

Abstract

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

Citation

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Krishnendu Gongopadhyay. John R. Parker. Shiv Parsad. "On the classifications of unitary matrices." Osaka J. Math. 52 (4) 959 - 993, October 2015.

Information

Published: October 2015
First available in Project Euclid: 18 November 2015

zbMATH: 1336.51006
MathSciNet: MR3426624

Subjects:
Primary: 51F25
Secondary: 20H20

Rights: Copyright © 2015 Osaka University and Osaka City University, Departments of Mathematics

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Vol.52 • No. 4 • October 2015
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