On noncrossing and nonnesting partitions for classical reflection groups
type: Item
instance of: scholarly article
title: On noncrossing and nonnesting partitions for classical reflection groups
zbMATH Open document ID: 0898.05004
author: Christos A. Athanasiadis
published in: The Electronic Journal of Combinatorics
publication date: 1998-10-08T00:00:00Z
full work available at URL: https://eudml.org/doc/119584
full work available at URL: v5i1r42.html
review text: Summary: The number of noncrossing partitions of \(\{1,2,\ldots,n\}\) with fixed block sizes has a simple closed form, given by Kreweras, and coincides with the corresponding number for nonnesting partitions. We show that a similar statement is true for the analogues of such partitions for root systems \(B\) and \(C\), defined recently by Reiner in the noncrossing case and Postnikov in the nonnesting case. Some of our tools come from the theory of hyperplane arrangements.
Mathematics Subject Classification ID: 05A18
Mathematics Subject Classification ID: 05A15
zbMATH DE Number: 1208674
zbMATH Keywords: noncrossing partitions
zbMATH Keywords: nonnesting partitions
zbMATH Keywords: root systems
zbMATH Keywords: hyperplane arrangements
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1208674