The descent algebra of a graded bialgebra
type: Item
instance of: scholarly article
title: The descent algebra of a graded bialgebra
zbMATH Open document ID: 0819.16033
published in: Journal of Algebra
publication date: 1994-12-19T00:00:00Z
review text: The Solomon descent algebra of the symmetric group is naturally isomorphic to the convolution subalgebra of the endomorphism algebra of the tensor algebra (with its natural structure of bialgebra) generated by the graded projections. This construction is extended to each graded bialgebra (commutative or cocommutative); the resulting algebra is the descent algebra of the given graded bialgebra.
reviewed by: Christophe Reutenauer
Mathematics Subject Classification ID: 16W30
Mathematics Subject Classification ID: 16W50
zbMATH DE Number: 703234
zbMATH Keywords: Solomon descent algebras
zbMATH Keywords: convolution subalgebras
zbMATH Keywords: endomorphism algebras
zbMATH Keywords: tensor algebras
zbMATH Keywords: graded bialgebras
author: Frédéric Patras
MaRDI profile type: Publication
full work available at URL: jabr.1994.1352
OpenAlex ID: W2094709741
DOI: 10.1006/JABR.1994.1352
description: scientific article; zbMATH DE number 703234