Adhérence de Zariski des groupes de Coxeter

Yves Benoist; Pierre de la Harpe

doi:10.1112/S0010437X04000338

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

We describe the Zariski closure of the geometric realization of Coxeter groups. When the Coxeter system is irreducible and the Tits form B non-positive and non-degenerate, this Zariski closure is equal to the orthogonal group of B.

Crossref Citations

This article has been cited by the following publications. This list is generated based on data provided by Crossref.

de la Harpe, Pierre 2007. On simplicity of reduced C*-algebras of groups. Bulletin of the London Mathematical Society, Vol. 39, Issue. 1, p. 1.

de Cornulier, Yves and de la Harpe, Pierre 2007. Geometric Group Theory. p. 75.

Baum, Helga 2008. Symmetries and Overdetermined Systems of Partial Differential Equations. Vol. 144, Issue. , p. 251.

PY, PIERRE 2013. Coxeter groups and Kähler groups. Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 155, Issue. 3, p. 557.

Desgroseilliers, Marc and Haglund, Frédéric 2013. On some convex cocompact groups in real hyperbolic space. Geometry & Topology, Vol. 17, Issue. 4, p. 2431.

Blanc, Jérémy and Cantat, Serge 2015. Dynamical degrees of birational transformations of projective surfaces. Journal of the American Mathematical Society, Vol. 29, Issue. 2, p. 415.

Dyer, Matthew Hohlweg, Christophe and Ripoll, Vivien 2016. Imaginary cones and limit roots of infinite Coxeter groups. Mathematische Zeitschrift, Vol. 284, Issue. 3-4, p. 715.

de la Harpe, P. and Kotschick, D. 2017. Presentability by products for some classes of groups. Journal of Topology and Analysis, Vol. 09, Issue. 01, p. 27.

Danciger, Jeffrey Guéritaud, François and Kassel, Fanny 2018. Convex cocompactness in pseudo-Riemannian hyperbolic spaces. Geometriae Dedicata, Vol. 192, Issue. 1, p. 87.

Oguiso, Keiji 2019. Pisot Units, Salem Numbers, and Higher Dimensional Projective Manifolds with Primitive Automorphisms of Positive Entropy. International Mathematics Research Notices, Vol. 2019, Issue. 5, p. 1373.

Douba, Sami 2022. Thin right‐angled Coxeter groups in some uniform arithmetic lattices. Bulletin of the London Mathematical Society, Vol. 54, Issue. 5, p. 1653.

Douba, Sami 2023. A hyperbolic lattice in each dimension with Zariski-dense surface subgroups. Proceedings of the American Mathematical Society,

Cantat, Serge and Dujardin, Romain 2023. Random dynamics on real and complex projective surfaces. Journal für die reine und angewandte Mathematik (Crelles Journal), Vol. 0, Issue. 0,

Kapovich, Michael Detinko, Alla and Kontorovich, Alex 2023. Computational Aspects of Discrete Subgroups of Lie Groups. Vol. 783, Issue. , p. 113.

Article contents

Adhérence de Zariski des groupes de Coxeter

Abstract

Keywords

This article has been cited by the following publications. This list is generated based on data provided by Crossref.

Article contents

Adhérence de Zariski des groupes de Coxeter

Abstract

Keywords

Save article to Kindle

Save article to Dropbox

Save article to Google Drive

Reply to: Submit a response

Your details

You have entered the maximum number of contributors

Conflicting interests