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Labeling the regions of the type \(C_n\) Shi arrangement

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Publication:1953517
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zbMath1270.52029MaRDI QIDQ1953517

Karola Mészáros

Publication date: 7 June 2013

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: http://www.combinatorics.org/ojs/index.php/eljc/article/view/v20i2p31


zbMATH Keywords

sequencesposetsnonnesting partitionstype \(C_n\) Shi arrangements


Mathematics Subject Classification ID

Combinatorics of partially ordered sets (06A07) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35)


Related Items (1)

Results and conjectures on simultaneous core partitions



Cites Work

  • Unnamed Item
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  • Parking spaces.
  • Bijections between noncrossing and nonnesting partitions for classical reflection groups
  • 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
  • Ad-nilpotent ideals of a Borel subalgebra. II.
  • Generalized noncrossing partitions and combinatorics of Coxeter groups
  • Sign Types Corresponding to an Affine Weyl Group
  • Hyperplane arrangements, interval orders, and trees.


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