The braid and the Shi arrangements and the Pak-Stanley labelling

DOI10.1016/j.ejc.2015.03.017zbMath1323.52013OpenAlexW2004965685MaRDI QIDQ491742

António Guedes de Oliveira, Rui Duarte

Publication date: 19 August 2015

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejc.2015.03.017

zbMATH Keywords

parking functionShi arrangementbraid arrangement

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35)

Related Items (6)

Partial parking functions ⋮ Bijections for faces of the Shi and Catalan arrangements ⋮ Between Shi and Ish ⋮ The number of parking functions with center of a given length ⋮ Pak-Stanley labeling of the \(m\)-Catalan hyperplane arrangement ⋮ Bijections on \(r\)-Shi and \(r\)-Catalan arrangements

Cites Work

• Unnamed Item
• Parking functions and labeled trees
• The Kazhdan-Lusztig cells in certain affine Weyl groups
• On noncrossing and nonnesting partitions for classical reflection groups
• A simple bijection for the regions of the Shi arrangement of hyperplanes
• A remarkable \(q,t\)-Catalan sequence and \(q\)-Lagrange inversion
• Hyperplane arrangements, interval orders, and trees.
• An Occupancy Discipline and Applications

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