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DC Field | Value | Language |
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dc.contributor.author | Gongopadhyay, Krishnendu | - |
dc.date.accessioned | 2023-08-29T09:31:10Z | - |
dc.date.available | 2023-08-29T09:31:10Z | - |
dc.date.issued | 2022 | - |
dc.identifier.citation | Journal of the Australian Mathematical Society, 113(1), 57–78. | en_US |
dc.identifier.uri | https://doi.org/10.1017/S144678872100001X | - |
dc.identifier.uri | http://hdl.handle.net/123456789/5234 | - |
dc.description | Only IISER Mohali authors are available in the record. | en_US |
dc.description.abstract | Let G(n)=Sp(n,1) or SU(n,1) . We classify conjugation orbits of generic pairs of loxodromic elements in G(n) . Such pairs, called ‘nonsingular’, were introduced by Gongopadhyay and Parsad for SU(3,1) . We extend this notion and classify G(n) -conjugation orbits of such elements in arbitrary dimension. For n=3 , they give a subspace that can be parametrized using a set of coordinates whose local dimension equals the dimension of the underlying group. We further construct twist-bend parameters to glue such representations and obtain local parametrization for generic representations of the fundamental group of a closed (genus g≥2 ) oriented surface into G(3). | en_US |
dc.language.iso | en_US | en_US |
dc.publisher | Cambridge University Press | en_US |
dc.subject | Character variety | en_US |
dc.subject | Complex hyperbolic space | en_US |
dc.title | Local Coordinates for Complex and Quaternionic Hyperbolic Pairs | en_US |
dc.type | Article | en_US |
Appears in Collections: | Research Articles |
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