Lie representations and an algebra containing Solomon's.
type: Item
instance of: scholarly article
title: Lie representations and an algebra containing Solomon's.
zbMATH Open document ID: 1056.16032
DOI: 10.1023/A:1021856522624
author: Christophe Reutenauer
author: Frédéric Patras
published in: Journal of Algebraic Combinatorics
publication date: 2003-03-11T00:00:00Z
review text: In the paper under review, a Hopf algebra containing the descent algebra as a sub-Hopf algebra is studied. This Hopf algebra has the main algebraic properties of the descent algebra, and more: it is a sub-Hopf algebra of the direct sum of symmetric group algebras; it is closed under the corresponding inner product; it is cocommutative; it contains all Lie idempotents of the symmetric group algebras.
reviewed by: Zhang Hechun
Mathematics Subject Classification ID: 16W30
Mathematics Subject Classification ID: 20C30
Mathematics Subject Classification ID: 20C05
Mathematics Subject Classification ID: 17B10
zbMATH DE Number: 1879621
zbMATH Keywords: descent algebras
zbMATH Keywords: Hopf algebras
zbMATH Keywords: Lie idempotents
zbMATH Keywords: symmetric group algebras
MaRDI profile type: Publication
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full work available at URL: a:1021856522624
OpenAlex ID: W1546574518
description: scientific article; zbMATH DE number 1879621