On inversion sets and the weak order in Coxeter groups

DOI10.1016/j.ejc.2016.01.002zbMath1333.05143arXiv1502.06926OpenAlexW1863544524MaRDI QIDQ268254

Christophe Hohlweg, Jean-Philippe Labbé

Publication date: 14 April 2016

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.06926

zbMATH Keywords

Cayley graphsbiclosed sets of positive rootsbiconvex sets of positive rootsinversion sets of infinite reduced words

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Related Items (11)

Affine twisted length function ⋮ Inverse \(K\)-Chevalley formulas for semi-infinite flag manifolds. II: Arbitrary weights in ADE type ⋮ Low elements and small inversion sets are in bijection in rank 3 Coxeter graphs ⋮ The facial weak order and its lattice quotients ⋮ Twisted weak orders of Coxeter groups ⋮ Separable elements in Weyl groups ⋮ Minimal elements for the limit weak order on affine Weyl groups ⋮ Imaginary cone and reflection subgroups of Coxeter groups ⋮ Unnamed Item ⋮ Infinite reduced words, lattice property and braid graph of affine Weyl groups ⋮ Reduced expression of minimal infinite reduced words of affine Weyl groups

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