Schottky groups and maximal representations
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 gr...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article (Journal) |
| Language: | English |
| Published: |
2018
|
| In: |
Geometriae dedicata
Year: 2017, Volume: 195, Issue: 1, Pages: 215-239 |
| ISSN: | 1572-9168 |
| DOI: | 10.1007/s10711-017-0285-2 |
| Online Access: | Verlag, Volltext: https://doi.org/10.1007/s10711-017-0285-2
|
| Author Notes: | Jean-Philippe Burelle, Nicolaus Treib |
| Summary: | 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 $$\mathrm {Sp}(2n,\mathbb {R})$$Sp(2n,R)on $$\mathbb {RP}^{2n-1}$$RP2n-1. |
|---|---|
| Item Description: | Published online: 13 October 2017 Gesehen am 30.01.2020 |
| Physical Description: | Online Resource |
| ISSN: | 1572-9168 |
| DOI: | 10.1007/s10711-017-0285-2 |