Idempotents for derangement numbers
type: Item
instance of: scholarly article
title: Idempotents for derangement numbers
zbMATH Open document ID: 1023.05010
DOI: 10.1016/S0012-365X(02)00757-4
author: Manfred Schocker
published in: Discrete Mathematics
publication date: 2003-08-19T00:00:00Z
review text: The principal result of this paper locates a set of orthogonal idempotents in Solomon's descent algebra. The representations of the symmetric group arising from these idempotents have dimensions which are equal to the number of permutations with a particular number of fixed points. Connections with higher Lie representations are then demonstrated. Finally, a number of known results, including a well-known formula for \(q\)-derangement numbers, are rederived.
Mathematics Subject Classification ID: 05A15
Mathematics Subject Classification ID: 05A30
zbMATH DE Number: 1967273
zbMATH Keywords: descent algebra
zbMATH Keywords: higher Lie representation
zbMATH Keywords: \(q\)-derangement number
reviewed by: Ian M. Wanless
MaRDI profile type: Publication
full work available at URL: s0012-365x(02)00757-4
OpenAlex ID: W2093085368
description: scientific article; zbMATH DE number 1967273