Reduced and nonreduced presentations of Weyl group elements

zbMath1446.17023arXiv1604.07967MaRDI QIDQ5227614

Claus Hertling, Sven Balnojan

Publication date: 6 August 2019

Full work available at URL: https://arxiv.org/abs/1604.07967

zbMATH Keywords

root systemextended affine root systemquasi-Coxeter elementreduced presentationsubroot lattice

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Root systems (17B22)

Related Items (3)

Characterization and enumeration of reflectable bases of types E6,7,8 ⋮ Hurwitz numbers for reflection groups. II: Parabolic quasi-Coxeter elements ⋮ Hurwitz orbits on reflection factorizations of parabolic quasi-Coxeter elements

Cites Work

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• Extended affine root systems. I: Coxeter transformations
• Ausgezeichnete Basen von Milnorgittern einfacher Singularitäten
• Signed graphs, root lattices, and Coxeter groups
• Les sous-groupes fermes de rang maximum des groupes de Lie clos
• Extended affine Lie algebras and their root systems

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