Braided bialgebras of Hecke-type.
type: Item
instance of: scholarly article
title: Braided bialgebras of Hecke-type.
zbMATH Open document ID: 1171.16019
author: Alessandro Ardizzoni
author: Claudia Menini
author: Dragoş Ştefan
published in: Journal of Algebra
publication date: 2009-04-29T00:00:00Z
full work available at URL: http://hdl.handle.net/2318/92400
review text: The authors prove a version of the Milnor-Moore Theorem for connected braided bialgebras that are infinitesimally cocommutative. It is shown that over a field \(k\) of characteristic \(\neq 2\), a connected braided bialgebra \(A\) which is infinitesimally \(\lambda\)-cocommutative for some non-zero \(\lambda\in k\) which is not a root of unity, then the infinitesimal braiding of \(A\) is of Hecke type of mark \(\lambda\), and \(A\) is isomorphic as a braided bialgebra to the symmetric algebra of the braided subspace of its primitive elements.
reviewed by: Constantin Năstăsescu
Mathematics Subject Classification ID: 16W30
Mathematics Subject Classification ID: 17B37
zbMATH DE Number: 5549338
zbMATH Keywords: braided bialgebras
zbMATH Keywords: braided enveloping algebras
zbMATH Keywords: Milnor-Moore theorem
MaRDI profile type: Publication
OpenAlex ID: W2094364714
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DOI: 10.1016/J.JALGEBRA.2008.11.011
description: scientific article; zbMATH DE number 5549338