The Lappo-Danilevskii method and trivial intersections of radicals in lower central series terms for certain fundamental groups.

DOI10.1007/s11006-006-0059-xzbMath1176.20042OpenAlexW2033970923MaRDI QIDQ881032

V. P. Leksin

Publication date: 21 May 2007

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11006-006-0059-x

zbMATH Keywords

Hecke algebraslinear representationsfundamental groupspure braid groupsfinite Coxeter groupsfinite complex reflection groupsBurau representationlower central series

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Braid groups; Artin groups (20F36) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Derived series, central series, and generalizations for groups (20F14)

Related Items (2)

Krammer representations for complex braid groups. ⋮ Analytic detection in homotopy groups of smooth manifolds

Cites Work

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• The lower central series of a fiber-type arrangement
• Riemann-Hilbert problem for analytic families of representations
• Linearity of Artin groups of finite type.
• Matrix Representations of Artin Groups
• On a generalization of Hilbert's 21st problem

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