Elements of minimal length and Bruhat order on fixed point cosets of Coxeter groups

DOI10.5802/alco.394MaRDI QIDQ6662816

Thomas Gobet, Nathan Chapelier-Laget

Publication date: 14 January 2025

Published in: Algebraic Combinatorics (Search for Journal in Brave)

zbMATH Keywords

Coxeter groupBruhat orderparabolic subgroupelements of minimal length

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Combinatorial aspects of groups and algebras (05E16)

Cites Work

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• Reflection subgroups of Coxeter systems
• A note on subgroups generated by reflections in Coxeter groups
• Systèmes de racines sur un anneau commutatif totalement ordonné. (Root systems over a totally ordered commutative ring)
• Lectures on Chevalley Groups
• Combinatorics of Coxeter Groups
• Hecke Algebras with Unequal Parameters
• Parametrization, structure and Bruhat order of certain spherical quotients

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