Geodesic
Representations of surface groups and right-angled Artin groups in higher rank
Wang, Stephen1
1Department of Mathematics, Haverford College, Haverford PA 19104, USA
Algebraic and Geometric Topology, Tome 7 (2007) no. 2, pp. 1099-1117
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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.

DOI : 10.2140/agt.2007.7.1099
Keywords: Artin groups, Lie groups

Wang, Stephen  1

1 Department of Mathematics, Haverford College, Haverford PA 19104, USA 
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Wang, Stephen. Representations of surface groups and right-angled Artin groups in higher rank. Algebraic and Geometric Topology, Tome 7 (2007) no. 2, pp. 1099-1117. doi: 10.2140/agt.2007.7.1099

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