A class of left quantum groups modeled after \(\text{SL}_q(n)\).
type: Item
instance of: scholarly article
title: A class of left quantum groups modeled after \(\text{SL}_q(n)\).
zbMATH Open document ID: 1125.16028
author: Aaron Lauve
author: Earl J. Taft
published in: Journal of Pure and Applied Algebra
publication date: 2007-01-09T00:00:00Z
full work available at URL: https://arxiv.org/abs/0908.3718
review text: For each \(n\geq 2\) the authors construct a bialgebra generated by comatrix units \(X_{ij}\), which has a left antipode but no right antipode. These are called left quantum groups, and each of them has the quantum special linear group \(\text{SL}_q(n)\) as a homomorphic image.
Mathematics Subject Classification ID: 16W30
Mathematics Subject Classification ID: 16W35
Mathematics Subject Classification ID: 17B37
Mathematics Subject Classification ID: 20G42
zbMATH DE Number: 5083161
zbMATH Keywords: left quantum groups
zbMATH Keywords: Hopf algebras
zbMATH Keywords: bialgebras
zbMATH Keywords: comatrix units
zbMATH Keywords: left antipodes
zbMATH Keywords: quantum special linear groups
reviewed by: Serban Raianu
describes a project that uses: QuantumMACMAHON
MaRDI profile type: Publication
OpenAlex ID: W2964338846
arXiv ID: 0908.3718
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DOI: 10.1016/J.JPAA.2006.03.017
description: scientific article