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Download fileBoundaries, Weyl groups, and Superrigidity
journal contribution
posted on 2012-08-17, 00:00 authored by Uri Bader, Alex FurmanThis note describes a unified approach to several superrigidity results, old and new, concerning representations of lattices into simple algebraic groups over local fields. For an arbitrary group Γ and a boundary action Γ B we associate a certain generalized Weyl group WΓ,B and show that
any representation with a Zariski dense unbounded image in a simple algebraic
group, ρ : Γ → H, defines a special homomorphism WΓ,B → WeylH. This
general fact allows the deduction of the aforementioned superrigidity results.
Funding
U.B. and A.F. were supported in part by the BSF grant 2008267. U.B was supported in part by the ISF grant 704/08. A.F. was supported in part by the NSF grants DMS 0905977.
History
Publisher Statement
© 2012 by American Institute of Mathematical Sciences, Electronic Research Announcements DOI: 10.3934/era.2012.19.41Publisher
American Institute of Mathematical SciencesLanguage
- en_US