On a family of hyperplane arrangements related to the affine Weyl groups
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Publication:1370465
DOI10.1023/A:1008621126402zbMath0911.52009MaRDI QIDQ1370465
Publication date: 28 April 1999
Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)
Reflection and Coxeter groups (group-theoretic aspects) (20F55) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35)
Related Items (16)
The Shi arrangement and the Ish arrangement ⋮ Lattice point counts for the Shi arrangement and other affinographic hyperplane arrangements ⋮ The freeness of Ish arrangements ⋮ Deformations of the braid arrangement and trees ⋮ Ad-nilpotent ideals and the Shi arrangement ⋮ Vertex-weighted digraphs and freeness of arrangements between Shi and Ish ⋮ Bijections for the Shi and Ish arrangements ⋮ Gessel polynomials, rooks, and extended linial arrangements ⋮ Freeness of hyperplane arrangements and related topics ⋮ Counting faces in the extended Shi arrangement ⋮ Characterization of a free arrangement and conjecture of Edelman and Reiner ⋮ Pointed and multi-pointed partitions of type \(A\) and \(B\) ⋮ Labeled binary trees, subarrangements of the Catalan arrangements, and Schur positivity ⋮ Deformations of Coxeter hyperplane arrangements ⋮ A Basis Construction for the Shi Arrangement of the TypeBℓorCℓ ⋮ A simple bijection for the regions of the Shi arrangement of hyperplanes
Cites Work
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- The Kazhdan-Lusztig cells in certain affine Weyl groups
- \(R\)-sequenceability and \(R^*\)-sequenceability of Abelian 2-groups
- Characteristic polynomials of subspace arrangements and finite fields
- Facing up to arrangements: face-count formulas for partitions of space by hyperplanes
- Sign Types Corresponding to an Affine Weyl Group
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