Gröbner-Shirshov basis and minimal projective resolution of \(U_q^+(A_{n})\)
type: Item
instance of: scholarly article
title: Gröbner-Shirshov basis and minimal projective resolution of \(U_q^+(A_{n})\)
zbMATH Open document ID: 1357.16017
author: Gulshadam Yunus
author: Abdukadir Obul
publication date: 2016-10-26T00:00:00Z
review text: A new application of the theory of Gröbner-Shirshov bases is shown. In this occasion, the computation of the first three steps of Anick's resolution for the graded trivial \(U\)-module \(k\) is made. Furthermore, the global dimension of \(U\) is computed.
Mathematics Subject Classification ID: 16E05
Mathematics Subject Classification ID: 16E10
Mathematics Subject Classification ID: 16S15
Mathematics Subject Classification ID: 17B37
Mathematics Subject Classification ID: 13P10
zbMATH DE Number: 6643398
zbMATH Keywords: Anick resolution
zbMATH Keywords: minimal projective resolution
zbMATH Keywords: Gröbner-Shirshov basis
zbMATH Keywords: quantum group
zbMATH Keywords: global dimension
reviewed by: Manuel Avelino Insua Hermo
MaRDI profile type: Publication
full work available at URL: s12215-016-0233-2
OpenAlex ID: W2297331385
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DOI: 10.1007/S12215-016-0233-2
published in: Rendiconti del Circolo Matematico di Palermo
description: scientific article; zbMATH DE number 6643398