On maximal dihedral reflection subgroups and generalized noncrossing partitions

DOI10.1090/PROC/16972MaRDI QIDQ6602142

Thomas Gobet

Publication date: 11 September 2024

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Coxeter groupabsolute orderreflection subgroupquasi-Garside groupgeneralized non-crossing partition

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Cites Work

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• Dual Euclidean Artin groups and the failure of the lattice property.
• Foundations of Garside theory
• Dual presentations of braid groups of affine type \(\widetilde A\).
• On minimal lengths of expressions of Coxeter group elements as products of reflections
• The dual braid monoid
• Non-crossing partition lattices in finite real reflection groups
• Interval groups related to finite Coxeter groups. I
• On a theorem of V. V. Deodhar and M. J. Dyer on Coxeter groups
• Dual structures on Coxeter and Artin groups of rank three

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