Low elements and small inversion sets are in bijection in rank 3 Coxeter graphs

MaRDI QIDQ2680931

Balthazar Charles

Publication date: 5 January 2023

Published in: Séminaire Lotharingien de Combinatoire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.03040

zbMATH Keywords

infinite Coxeter groupinversion polytopelow element

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Combinatorial aspects of groups and algebras (05E16)

Cites Work

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• 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
• A finiteness property and an automatic structure for Coxeter groups
• A bijection for Shi arrangement faces
• Combinatorics of Coxeter Groups
• Buildings
• Asymptotical Behaviour of Roots of Infinite Coxeter Groups

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