A note on non-reduced reflection factorizations of Coxeter elements

DOI10.5802/alco.99zbMath1436.05137arXiv1901.05781OpenAlexW3014836288WikidataQ114013411 ScholiaQ114013411MaRDI QIDQ1985360

Patrick Wegener, Sophiane Yahiatene

Publication date: 7 April 2020

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

Full work available at URL: https://arxiv.org/abs/1901.05781

zbMATH Keywords

Coxeter groupsHurwitz actionCoxeter elementreflection factorizations

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Group actions on combinatorial structures (05E18) Combinatorial aspects of groups and algebras (05E16)

Related Items (6)

The Hurwitz action in complex reflection groups ⋮ Reflection factorizations and quasi-Coxeter elements ⋮ Hurwitz orbits on reflection factorizations of parabolic quasi-Coxeter elements ⋮ On the Hurwitz action in affine Coxeter groups ⋮ The Hurwitz action in complex reflection groups ⋮ A note on the Hurwitz action on reflection factorizations of Coxeter elements in complex reflection groups

Cites Work

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• Circuits and Hurwitz action in finite root systems
• Reflection subgroups of Coxeter systems
• Exceptional sequences and clusters. (With an appendix with Hugh Thomas).
• A note on the transitive Hurwitz action on decompositions of parabolic Coxeter elements
• The dual braid monoid

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