5 papers
Convex cocompact groups with three-dimensional limit sets
Sami Douba, Gye-Seon Lee, Ludovic Marquis +1
We provide a general construction of convex cocompact hyperbolic reflection groups with three-dimensional limit sets. More precisely, our construction takes as input an arbitrary s…
Convex cocompact groups in real hyperbolic spaces with limit set a Pontryagin sphere
Sami Douba, Gye-Seon Lee, Ludovic Marquis +1
We exhibit two examples of convex cocompact subgroups of the isometry groups of real hyperbolic spaces with limit set a Pontryagin sphere: one generated by reflections of $\ma…
Anosov triangle reflection groups in SL(3,R)
Gye-Seon Lee, Jaejeong Lee, Florian Stecker
We identify all Anosov representations of compact hyperbolic triangle reflection groups into the higher rank Lie group . Specifically, we prove that such…
Zariski-Closures of Linear Reflection Groups
Jacques Audibert, Sami Douba, Gye-Seon Lee +1
We give necessary and sufficient conditions for a linear reflection group in the sense of Vinberg to be Zariski-dense in the ambient projective general linear group. As an applicat…
Convex cocompactness for Coxeter groups
Jeffrey Danciger, François Guéritaud, Fanny Kassel +2
We investigate representations of Coxeter groups into as geometric reflection groups which are convex cocompact in the projective space $\mathbb{P}(\mat…