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dc.contributor.author
Ben Simon, Gabi
dc.contributor.author
Burger, Marc
dc.contributor.author
Hartnick, Tobias
dc.contributor.author
Iozzi, Alessandra
dc.contributor.author
Wienhard, Anna
dc.date.accessioned
2017-06-09T17:12:49Z
dc.date.available
2017-06-09T17:12:49Z
dc.date.issued
2011
dc.identifier.uri
http://hdl.handle.net/20.500.11850/41144
dc.description.abstract
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.
dc.language.iso
en
dc.publisher
Cornell University
dc.title
Weakly maximal representations of surface groups
dc.type
Working Paper
ethz.pages.start
arXiv:1112.0449v1
ethz.size
8 p.
ethz.notes
Submitted 2 December 2011.
ethz.publication.place
Ithaca, NY
ethz.publication.status
published
ethz.leitzahl
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02000 - Dep. Mathematik / Dep. of Mathematics::02003 - Mathematik Selbständige Professuren::08802 - Iozzi, Alessandra (Tit.-Prof.)
ethz.leitzahl
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02000 - Dep. Mathematik / Dep. of Mathematics::02003 - Mathematik Selbständige Professuren::03491 - Burger, Marc / Burger, Marc
ethz.leitzahl.certified
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02000 - Dep. Mathematik / Dep. of Mathematics::02003 - Mathematik Selbständige Professuren::08802 - Iozzi, Alessandra (Tit.-Prof.)
ethz.leitzahl.certified
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02000 - Dep. Mathematik / Dep. of Mathematics::02003 - Mathematik Selbständige Professuren::03491 - Burger, Marc / Burger, Marc
ethz.identifier.url
http://arxiv.org/abs/1112.0449
ethz.date.deposited
2017-06-09T17:13:08Z
ethz.source
ECIT
ethz.identifier.importid
imp59364ea30364b85191
ethz.ecitpid
pub:68785
ethz.eth
yes
ethz.availability
Metadata only
ethz.rosetta.installDate
2017-07-12T12:01:34Z
ethz.rosetta.lastUpdated
2018-10-01T14:17:38Z
ethz.rosetta.versionExported
true
ethz.COinS
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