On the classifications of unitary matrices

dc.contributor.authorGongopadhyay, Krishnendu
dc.contributor.authorParker, J.R.
dc.contributor.authorParsad, Shiv
dc.date.accessioned2020-12-14T05:09:02Z
dc.date.available2020-12-14T05:09:02Z
dc.date.issued2015
dc.description.abstractWe 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.en_US
dc.identifier.citationOsaka Journal of Mathematics, 52(4) pp. 959-991en_US
dc.identifier.urihttps://projecteuclid.org/euclid.ojm/1447856028
dc.identifier.urihttp://hdl.handle.net/123456789/3081
dc.language.isoen_USen_US
dc.publisherOsaka Universityen_US
dc.subjectmatrices in SU(p,q)en_US
dc.subjectcoefficientsen_US
dc.subjectSU(2,1)en_US
dc.subjectSU(1,1)en_US
dc.titleOn the classifications of unitary matricesen_US
dc.typeArticleen_US

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