Parabolic Tamari lattices in linear type \(B\)

zbMath1516.20081arXiv2112.13400MaRDI QIDQ6103833

Jean-Christophe Novelli, Henri Mühle, Wenjie Fang

Publication date: 5 June 2023

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

Full work available at URL: https://arxiv.org/abs/2112.13400

zbMATH Keywords

hyperoctahedral groupTamari latticeparabolic quotientCoxeter-Catalan combinatoricssign-symmetric permutation

Mathematics Subject Classification ID

Combinatorics of partially ordered sets (06A07) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Combinatorial aspects of groups and algebras (05E16)

Cites Work

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• A consecutive Lehmer code for parabolic quotients of the symmetric group
• Noncrossing arc diagrams, Tamari lattices, and parabolic quotients of the symmetric group
• The rank enumeration of certain parabolic non-crossing partitions
• Tamari lattices for parabolic quotients of the symmetric group
• Cambrian lattices.
• Combinatorics of Coxeter Groups
• Clusters, Coxeter-sortable elements and noncrossing partitions
• Generalized Quotients in Coxeter Groups
• Shellable nonpure complexes and posets. II
• Rowmotion in slow motion
• The steep-bounce zeta map in parabolic Cataland

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