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Rigidity of diagonally embedded triangle groups

Part of: Lie groups Special aspects of infinite or finite groups

Published online by Cambridge University Press:  20 August 2020

Jean-Philippe Burelle
Jean-Philippe Burelle*
Affiliation:
Département de mathématiques, Université de Sherbrooke, Sherbrooke, QC J1K 2R1, Canada
*
e-mail: [email protected]
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Abstract

We show local rigidity of hyperbolic triangle groups generated by reflections in pairs of n-dimensional subspaces of $\mathbb {R}^{2n}$ obtained by composition of the geometric representation in $\mathsf {PGL}(2,\mathbb {R})$ with the diagonal embeddings into $\mathsf {PGL}(2n,\mathbb {R})$ and $\mathsf {PSp}^\pm (2n,\mathbb {R})$ .

Keywords

Triangles groupsrigidityreflectionscharacter varietiessymplectic group

MSC classification

Primary: 22E40: Discrete subgroups of Lie groups
Secondary: 20F55: Reflection and Coxeter groups
Type
Article
Information
Canadian Mathematical Bulletin , Volume 64 , Issue 3 , September 2021 , pp. 560 - 579
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Copyright
© Canadian Mathematical Society 2020

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