Coxeter groups, imaginary cones and dominance.

DOI10.2140/PJM.2013.262.339zbMath1285.20038arXiv1108.5232OpenAlexW2056908279MaRDI QIDQ354588

Xiang Fu

Publication date: 19 July 2013

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.5232

zbMATH Keywords

Coxeter groupsroot systemsdominanceelementary rootspositive rootsTits cones

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Root systems (17B22)

Related Items (5)

Small roots, low elements, and the weak order in Coxeter groups ⋮ \(n\)-low elements and maximal rank \(k\) reflection subgroups of Coxeter groups ⋮ Imaginary cones and limit roots of infinite Coxeter groups ⋮ Imaginary cone and reflection subgroups of Coxeter groups ⋮ On the limit set of root systems of Coxeter groups acting on Lorentzian spaces

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