Cylinder braiding for quantum linear groups
type: Item
instance of: scholarly article
title: Cylinder braiding for quantum linear groups
zbMATH Open document ID: 1006.17014
DOI: 10.1007/PL00004762
author: Tammo tom Dieck
published in: Mathematische Zeitschrift
publication date: 2003-03-10T00:00:00Z
review text: If \(V\) is a module over a commutative ring, a four braid pair on \(V\) is a pair \((X,F)\) consisting of a Yang-Baxter operator \(X:V\otimes V\rightarrow V\otimes V\) and an automorphism \(F:V\rightarrow V\) such that \(X(F\otimes I)X(F\otimes I)= (F\otimes I)X(F\otimes I)X\). A four braid pair induces a representation of the braid group \(ZB_k\) associated to the Coxeter graph \(B_k\). The author constructs a certain four braid pair and studies the cylinder form induced by this four braid pair.
Mathematics Subject Classification ID: 17B37
Mathematics Subject Classification ID: 20F36
zbMATH DE Number: 1384884
zbMATH Keywords: braid group
zbMATH Keywords: representation
zbMATH Keywords: Yang-Baxter operator
zbMATH Keywords: four braid pair
zbMATH Keywords: cylinder form
reviewed by: Sorin Dascalescu
MaRDI profile type: Publication
full work available at URL: pl00004762
OpenAlex ID: W1975299522
description: scientific article; zbMATH DE number 1384884