Powers of Coxeter elements in infinite groups are reduced

DOI10.1090/S0002-9939-08-09638-XzbMath1187.20053arXiv0710.3188MaRDI QIDQ3623340

David E. Speyer

Publication date: 17 April 2009

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.3188

zbMATH Keywords

finite Coxeter groupsroot systemsreduced wordsinfinite irreducible Coxeter groupssimple generators

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Root systems (17B22)

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Cites Work

• Permutahedra and generalized associahedra.
• Sortable elements and Cambrian lattices.
• Cambrian fans.
• The conjugacy problem for Coxeter groups.
• Crystals for Demazure modules of classical affine Lie algebras
• Admissible sequences and the preprojective component of a quiver.
• Subword complexes in Coxeter groups.
• Cambrian lattices.
• Combinatorics of Coxeter Groups
• Sortable elements in infinite Coxeter groups
• Cluster algebras IV: Coefficients
• Coxeter Groups and M -Matrices
• Admissible Sequences, Preprojective Representations of Quivers, and Reduced Words in the Weyl Group of a Kac-Moody Algebra