On order-preserving representations

• Verfasst von: Ben Simon, Gabi [VerfasserIn]
• Verfasst von: Burger, Marc [VerfasserIn]
• Verfasst von: Hartnick, Tobias [VerfasserIn]
• Verfasst von: Iozzi, Alessandra [VerfasserIn]
• Verfasst von: Wienhard, Anna [VerfasserIn]
• Titel: On order-preserving representations
• Verf.angabe: G. Ben Simon, M. Burger, T. Hartnick, A. Iozzi and A. Wienhard
• Umfang: 20 S.
• Fussnoten: Gesehen am 15.11.2017
• Titel Quelle: Enthalten in: London Mathematical Society: Journal of the London Mathematical Society
• Jahr Quelle: 2016
• Band/Heft Quelle: 94(2016), 2, S. 525-544
• ISSN Quelle: 1469-7750
• DOI: doi:10.1112/jlms/jdw048
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1565392892

Abstract

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.