Adhérence de Zariski des groupes de Coxeter

Benoist, Yves; De La Harpe, Pierre

doi:10.1112/S0010437X04000338

Scientific article

French

Adhérence de Zariski des groupes de Coxeter

ContributorsBenoist, Yves; De La Harpe, Pierre

Published inCompositio mathematica, vol. 140, no. 5, p. 1357-1366

Publication date2004

Abstract

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.

Affiliation entities

Faculté des sciences / Section de mathématiques

Citation (ISO format)

BENOIST, Yves, DE LA HARPE, Pierre. Adhérence de Zariski des groupes de Coxeter. In: Compositio mathematica, 2004, vol. 140, n° 5, p. 1357–1366. doi: 10.1112/S0010437X04000338

Article (Accepted version)

Identifiers

PID : unige:12266
DOI : 10.1112/S0010437X04000338

Journal ISSN0010-437X

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Adhérence de Zariski des groupes de Coxeter

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.

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