The enumeration of Coxeter elements

DOI10.1023/A:1008695121783zbMath0871.05030OpenAlexW195829917MaRDI QIDQ679088

Jian-yi Shi

Publication date: 24 September 1997

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

Full work available at URL: https://doi.org/10.1023/a:1008695121783

zbMATH Keywords

Coxeter groupCoxeter graphCoxeter elementacyclic orienttaions

Mathematics Subject Classification ID

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

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Cites Work

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• Finite subgroups of \(SU_ 2\), Dynkin diagrams and affine Coxeter elements
• Young characters on Coxeter basis elements of Iwahori-Hecke algebras and a Murnaghan-Nakayama formula
• The spectrum of a Coxeter transformation, affine Coxeter transformations, and the defect map
• Killing and the Coxeter transformation of Kac-Moody algebras
• Coxeter Groups and M -Matrices