Algebraic & Geometric Topology
- Algebr. Geom. Topol.
- Volume 7, Number 2 (2007), 1099-1117.
Representations of surface groups and right-angled Artin groups in higher rank
We give concrete constructions of discrete and faithful representations of right-angled Artin groups into higher-rank Lie groups. Using the geometry of the associated symmetric spaces and the combinatorics of the groups, we find a general criterion for when discrete and faithful representations exist, and show that the criterion is satisfied in particular cases. There are direct applications towards constructing representations of surface groups into higher-rank Lie groups, and, in particular, into lattices in higher-rank Lie groups.
Algebr. Geom. Topol., Volume 7, Number 2 (2007), 1099-1117.
Received: 2 February 2007
Revised: 8 June 2007
Accepted: 12 June 2007
First available in Project Euclid: 20 December 2017
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Wang, Stephen. Representations of surface groups and right-angled Artin groups in higher rank. Algebr. Geom. Topol. 7 (2007), no. 2, 1099--1117. doi:10.2140/agt.2007.7.1099. https://projecteuclid.org/euclid.agt/1513796716