Schottky groups and maximal representations

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Abstract:

We describe a construction of Schottky type subgroups of automorphism groups of partially cyclically ordered sets. We apply this construction to the Shilov boundary of a Hermitian symmetric space and show that in this setting Schottky subgroups correspond to maximal representations of fundamental groups of surfaces with boundary. As an application, we construct explicit fundamental domains for the action of maximal representations into \mathrm Sp(2n,\mathbb R) on \mathbb RP^2n-1.

SEEK ID: https://publications.h-its.org/publications/993

DOI: 10.1007/s10711-017-0285-2

Research Groups: Groups and Geometry

Publication type: Journal

Journal: Geometriae Dedicata

Publisher: Springer Science and Business Media LLC

Citation: Geom Dedicata 195(1):215-239

Date Published: 1st Aug 2018

URL: http://dx.doi.org/10.1007/s10711-017-0285-2

Registered Mode: imported from a bibtex file

Authors: Jean-Philippe Burelle, Nicolaus Treib

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Lukas Sauer

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Burelle, J.-P., & Treib, N. (2017). Schottky groups and maximal representations. In Geometriae Dedicata (Vol. 195, Issue 1, pp. 215–239). Springer Science and Business Media LLC. https://doi.org/10.1007/s10711-017-0285-2

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Created: 30th Jan 2020 at 10:27

Last updated: 5th Mar 2024 at 21:24

Schottky groups and maximal representations

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