Translator Disclaimer
2007 Representations of surface groups and right-angled Artin groups in higher rank
Stephen Wang
Algebr. Geom. Topol. 7(2): 1099-1117 (2007). DOI: 10.2140/agt.2007.7.1099

Abstract

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.

Citation

Download Citation

Stephen Wang. "Representations of surface groups and right-angled Artin groups in higher rank." Algebr. Geom. Topol. 7 (2) 1099 - 1117, 2007. https://doi.org/10.2140/agt.2007.7.1099

Information

Received: 2 February 2007; Revised: 8 June 2007; Accepted: 12 June 2007; Published: 2007
First available in Project Euclid: 20 December 2017

zbMATH: 1133.20024
MathSciNet: MR2336251
Digital Object Identifier: 10.2140/agt.2007.7.1099

Subjects:
Primary: 20F36
Secondary: 53C35

Rights: Copyright © 2007 Mathematical Sciences Publishers

JOURNAL ARTICLE
19 PAGES


SHARE
Vol.7 • No. 2 • 2007
MSP
Back to Top