Supersolvable orders and inductively free arrangements

DOI10.1515/math-2017-0052zbMath1362.52010OpenAlexW2612907203MaRDI QIDQ527264

Xiupeng Cui, Ruimei Gao, Zhe Li

Publication date: 16 May 2017

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2017-0052

zbMATH Keywords

supersolvable arrangementfree arrangementinductively free arrangementsupersolvable order

Mathematics Subject Classification ID

Relations with arrangements of hyperplanes (32S22) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35)

Cites Work

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• Reflection arrangements are hereditarily free
• Supersolvable restrictions of reflection arrangements
• The Shi arrangement of the type \(D_{\ell}\)
• Simple-root bases for Shi arrangements
• Coxeter and crystallographic arrangements are inductively free
• Characterization of a free arrangement and conjecture of Edelman and Reiner
• Free arrangements of hyperplanes and supersolvable lattices
• Multiderivations of Coxeter arrangements
• On inductively free reflection arrangements.
• Combinatorial construction of logarithmic differential forms
• Supersolvable lattices
• The Shi arrangements and the Bernoulli polynomials
• Supersolvable reflection arrangements
• A Basis Construction for the Shi Arrangement of the TypeB_ℓorC_ℓ

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