Regular theory in complex braid groups

DOI10.1016/j.jalgebra.2022.12.031OpenAlexW4295343598MaRDI QIDQ2685368

Owen Garnier

Publication date: 21 February 2023

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.06383

zbMATH Keywords

regular elementsbraid groupscomplex reflection groupsGarside categories

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Cites Work

• Torsion in the quotient group of the Artin-Brieskorn braid group and regular Springer numbers
• Fundamental groups of the spaces of regular orbits of the finite unitary reflection groups of dimension 2
• Regular elements of finite reflection groups
• Braid groups of imprimitive complex reflection groups.
• Foundations of Garside theory
• Finite complex reflection arrangements are \(K(\pi,1)\)
• The center of pure complex braid groups.
• Discriminants in the invariant theory of reflection groups
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