The reduced expressions in a Coxeter system with a strictly complete Coxeter graph

DOI10.1016/J.AIM.2014.12.008zbMath1396.20040OpenAlexW1983650932MaRDI QIDQ488971

Jian-yi Shi

Publication date: 27 January 2015

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2014.12.008

zbMATH Keywords

symbolsCoxeter systembc-expressionsstrictly complete Coxeter graph

Mathematics Subject Classification ID

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

Related Items (5)

Automata, reduced words and Garside shadows in Coxeter groups. ⋮ The lowest two-sided cell of a Coxeter group with complete graph ⋮ Conjectures P1--P15 for Coxeter groups with complete graph ⋮ Reduced expressions in a Coxeter system with a complete Coxeter graph ⋮ The boundedness of the weighted Coxeter group with complete graph

Cites Work

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• On the number of reduced decompositions of elements of Coxeter groups
• A combinatorial bijection between standard Young tableaux and reduced words of Grassmannian permutations
• Schubert functions and the number of reduced words of permutations
• Reduced words in affine Coxeter groups
• Lusztig's $a$-function for Coxeter groups with complete graphs

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