Polygon posets and the weak order of Coxeter groups

DOI10.1023/A:1022428111696zbMath0835.06003OpenAlexW1524101815MaRDI QIDQ1893956

Kimmo Eriksson

Publication date: 22 April 1996

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

Full work available at URL: https://doi.org/10.1023/a:1022428111696

zbMATH Keywords

Coxeter groupfinite state automatonweak ordergeneralized quotientjoin idealpolygon poset

Mathematics Subject Classification ID

Combinatorics on words (68R15) Formal languages and automata (68Q45) Combinatorics of partially ordered sets (06A07) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Ordered groups (06F15)

Cites Work

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• Convergence of Mozes's game of numbers
• A finiteness property and an automatic structure for Coxeter groups
• Reflection processes on graphs and Weyl groups
• Coxeter groups are almost convex
• The numbers game and Coxeter groups
• Generalized Quotients in Coxeter Groups
• Introduction to Greedoids

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