The intermediate orders of a Coxeter group

DOI10.1090/proc/16199OpenAlexW4286239157MaRDI QIDQ5878558

Paolo Sentinelli, Angela Carnevale, Matthew J. Dyer

Publication date: 21 February 2023

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

Full work available at URL: https://arxiv.org/abs/2203.00405

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorics of partially ordered sets (06A07) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Uses Software

• SageMath

Cites Work

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• The distance spectra of Cayley graphs of Coxeter groups
• Reflection subgroups of Coxeter systems
• The absolute order on the symmetric group, constructible partially ordered sets and Cohen-Macaulay complexes
• Ricci curvature, graphs and eigenvalues
• On the Sperner property for the absolute order on complex reflection groups
• Artin group injection in the Hecke algebra for right-angled groups
• Coxeter groups, Coxeter monoids and the Bruhat order
• Combinatorics of Coxeter Groups
• Shellability of noncrossing partition lattices
• The symmetric group, ordered by refinement of cycles, is strongly Sperner
• Ricci curvature, Bruhat graphs and Coxeter groups
• Pop-stack-sorting for Coxeter groups
• A combinatorial 𝔰𝔩₂-action and the Sperner property for the weak order
• A partial order on the symmetric group and new \(K(\pi,1)\)'s for the braid groups

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