Reduced expressions in a Coxeter system with a complete Coxeter graph

DOI10.1016/J.JCTA.2018.06.002zbMath1498.20098OpenAlexW2808959317WikidataQ129621455 ScholiaQ129621455MaRDI QIDQ725002

Jian-yi Shi

Publication date: 26 July 2018

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcta.2018.06.002

zbMATH Keywords

symbolsCoxeter systembc-expressionscomplete Coxeter graph

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Combinatorial aspects of groups and algebras (05E16)

Related Items (1)

Conjectures P1--P15 for Coxeter groups with complete graph

Cites Work

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• The reduced expressions in a Coxeter system with a strictly complete Coxeter graph
• On the number of reduced decompositions of elements of Coxeter groups
• A combinatorial bijection between standard Young tableaux and reduced words of Grassmannian permutations
• Balanced tableaux
• Lusztig's $a$-function for Coxeter groups with complete graphs

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