Reflection arrangements are hereditarily free

DOI10.2748/tmj/1378991017zbMath1287.51006arXiv1205.5430OpenAlexW2963902078MaRDI QIDQ386795

Torsten Hoge, Gerhard Röhrle

Publication date: 10 December 2013

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.5430

zbMATH Keywords

complex reflection groupsfreeness of restrictions of reflection arrangements

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Derivations and commutative rings (13N15) Reflection groups, reflection geometries (51F15) Configurations and arrangements of linear subspaces (14N20)

Related Items (5)

Freeness for restriction arrangements of the extended Shi and Catalan arrangements ⋮ On inductively free restrictions of reflection arrangements. ⋮ Restricting invariants of unitary reflection groups ⋮ Supersolvable orders and inductively free arrangements ⋮ Accurate arrangements

Uses Software

• GAP
• SINGULAR
• CHEVIE

Cites Work

• Coxeter and crystallographic arrangements are inductively free
• Coxeter arrangements are hereditarily free
• CHEVIE -- A system for computing and processing generic character tables
• On inductively free reflection arrangements.
• Freeness and multirestriction of hyperplane arrangements
• The adjoint representation of a reductive group and hyperplane arrangements
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