Mathematics – Group Theory
Scientific paper
2011-12-02
Mathematics
Group Theory
Research Announcement
Scientific paper
We introduce and study a new class of representations of surface groups into Lie groups of Hermitian type, called weakly maximal representations. They are defined in terms of invariants in bounded cohomology and extend considerably the scope of maximal representations. We prove that weakly maximal representations are discrete and injective and describe the structure of the Zariski closure of the image. An interesting feature of these representations is that they admit an elementary topological characterization in terms of bi-invariant orderings. In particular if the target group is Hermitian of tube type, the ordering can be described in terms of the causal structure on the Shilov boundary.
Burger Marc
Hartnick Tobias
Iozzi Alessandra
Simon Gabi Ben
Wienhard Anna
No associations
LandOfFree
Weakly maximal representations of surface groups does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Weakly maximal representations of surface groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Weakly maximal representations of surface groups will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-140242