On order-preserving representations
In this article, we introduce order-preserving representations of fundamental groups of surfaces into Lie groups with bi-invariant orders. By relating order-preserving representations to weakly maximal representations, previously introduced by the authors, we show that order-preserving representatio...
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| Main Authors: | , , , , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
10 August 2016
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| In: |
Journal of the London Mathematical Society
Year: 2016, Volume: 94, Issue: 2, Pages: 525-544 |
| ISSN: | 1469-7750 |
| DOI: | 10.1112/jlms/jdw048 |
| Online Access: | Verlag, Volltext: http://dx.doi.org/10.1112/jlms/jdw048
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| Author Notes: | G. Ben Simon, M. Burger, T. Hartnick, A. Iozzi and A. Wienhard |
MARC
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| 520 | |a In this article, we introduce order-preserving representations of fundamental groups of surfaces into Lie groups with bi-invariant orders. By relating order-preserving representations to weakly maximal representations, previously introduced by the authors, we show that order-preserving representations into Lie groups of Hermitian type are faithful with discrete image, and that the set of order-preserving representations is closed in the representation variety. For Lie groups of Hermitian type whose associated symmetric space is of tube type, we give a geometric characterization of these representations in terms of the causal structure on the Shilov boundary. | ||
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