The numbers game and Coxeter groups

DOI10.1016/0012-365X(94)00131-2zbMath0835.90151MaRDI QIDQ1893985

Kimmo Eriksson

Publication date: 13 July 1995

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

zbMATH Keywords

Coxeter groupscombinatorial one-player gamenumbers game of Mozes

Mathematics Subject Classification ID

Games involving graphs (91A43) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Related Items (11)

Sign-alternating Gibonacci polynomials ⋮ Polygon posets and the weak order of Coxeter groups ⋮ Strong convergence and the polygon property of 1-player games ⋮ On the Helgason-Johnson bound ⋮ On dominance and minuscule Weyl group elements. ⋮ Root Systems for Asymmetric Geometric Representations of Coxeter Groups ⋮ Looping of the numbers game and the alcoved hypercube ⋮ Weighted Coxeter graphs and generalized geometric representations of Coxeter groups ⋮ NORMALITY AND QUADRATICITY FOR SPECIAL AMPLE LINE BUNDLES ON TORIC VARIETIES ARISING FROM ROOT SYSTEMS ⋮ Eriksson's numbers game and finite Coxeter groups ⋮ Relaxation procedures on graphs

Cites Work

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• Artin groups and infinite Coxeter groups
• Chip-firing games on graphs
• Convergence of Mozes's game of numbers
• Reflection processes on graphs and Weyl groups
• Strong convergence and a game of numbers
• Some Examples of Square Integrable Representations of Semisimple p-Adic Groups
• Reflection Sequences
• Generalized Quotients in Coxeter Groups

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