Asymptotical Behaviour of Roots of Infinite Coxeter Groups

DOI10.4153/CJM-2013-024-6zbMath1344.20055arXiv1112.5415OpenAlexW1978664187MaRDI QIDQ5409828

Jean-Philippe Labbé, Vivien Ripoll, Christophe Hohlweg

Publication date: 15 April 2014

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

Full work available at URL: https://arxiv.org/abs/1112.5415

zbMATH Keywords

rootsroot systemslimit pointsreflection subgroupsinfinite Coxeter groupsaccumulation sets

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Asymptotic properties of groups (20F69) Root systems (17B22)

Related Items (16)

On inversion sets and the weak order in Coxeter groups ⋮ Automata, reduced words and Garside shadows in Coxeter groups. ⋮ Small roots, low elements, and the weak order in Coxeter groups ⋮ Even more infinite ball packings from Lorentzian root systems ⋮ ON PAIRED ROOT SYSTEMS OF COXETER GROUPS ⋮ Imaginary cones and limit roots of infinite Coxeter groups ⋮ NONORTHOGONAL GEOMETRIC REALIZATIONS OF COXETER GROUPS ⋮ Low elements and small inversion sets are in bijection in rank 3 Coxeter graphs ⋮ DISTRIBUTION OF ACCUMULATION POINTS OF ROOTS FOR TYPE (n - 1, 1) COXETER GROUPS ⋮ Lorentzian Coxeter systems and Boyd-Maxwell ball packings ⋮ Imaginary cone and reflection subgroups of Coxeter groups ⋮ Accumulation points of real Schur roots ⋮ Unnamed Item ⋮ On the limit set of root systems of Coxeter groups acting on Lorentzian spaces ⋮ Infinite reduced words, lattice property and braid graph of affine Weyl groups ⋮ Garside families in Artin-Tits monoids and low elements in Coxeter groups.

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