A separation result for quantum coalgebras with an application to pointed quantum coalgebras of small dimension
type: Item
instance of: scholarly article
title: A separation result for quantum coalgebras with an application to pointed quantum coalgebras of small dimension
zbMATH Open document ID: 0949.16039
author: David E. Radford
author: Louis Kauffman
published in: Journal of Algebra
publication date: 2000-08-13T00:00:00Z
review text: The main purpose of the paper is to describe a theoretical construction which should greatly simplify the study of the quantum coalgebras as structures which produce 1-1 tangle and/or knot invarinats. The construction is used to study a class of quantum coalgebras related to the classification of the quantum algebra structures on the matrix algebra \(M_2(k)\), where \(k\) is an algebraically closed field of characteristic zero. These coalgebras are pointed and they give rise to 1-1 tangle invariants dominated by the writhe and Whitney degree or the writhe.
Mathematics Subject Classification ID: 16W30
zbMATH DE Number: 1423609
zbMATH Keywords: quantum coalgebras
zbMATH Keywords: pointed coalgebras
zbMATH Keywords: tangle invariants
zbMATH Keywords: knot invariants
reviewed by: Sorin Dascalescu
MaRDI profile type: Publication
full work available at URL: jabr.1999.8107
OpenAlex ID: W2086688204
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DOI: 10.1006/JABR.1999.8107
description: scientific article; zbMATH DE number 1423609