The freeness of Ish arrangements

DOI10.1016/j.jcta.2016.09.008zbMath1351.05224arXiv1410.2084OpenAlexW2238022961MaRDI QIDQ346444

Shuhei Tsujie, Daisuke Suyama, Takuro Abe

Publication date: 29 November 2016

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.2084

zbMATH Keywords

supersolvable arrangementhyperplane arrangementShi arrangementCoxeter arrangementfiber-type arrangementfree arrangementIsh arrangement

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Linear algebraic groups over arbitrary fields (20G15) Representation theory for linear algebraic groups (20G05)

Related Items (5)

Freeness for restriction arrangements of the extended Shi and Catalan arrangements ⋮ Vertex-weighted digraphs and freeness of arrangements between Shi and Ish ⋮ Vertex-weighted graphs and freeness of $ \psi $-graphical arrangements ⋮ The Bernardi formula for nontransitive deformations of the braid arrangement ⋮ Free subarrangements of Shi arrangements

Cites Work

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• Hyperplane arrangements and diagonal harmonics
• Hyperplane arrangements with a lattice of regions
• The Kazhdan-Lusztig cells in certain affine Weyl groups
• Modular elements of lattices and topological fibration
• Generalized exponents of a free arrangement of hyperplanes and Shepherd- Todd-Brieskorn formula
• On a family of hyperplane arrangements related to the affine Weyl groups
• On free deformations of the braid arrangement
• Supersolvable lattices
• The Shi arrangement and the Ish arrangement

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