Invariants of the quantum torus
type: Item
instance of: scholarly article
title: Invariants of the quantum torus
zbMATH Open document ID: 1236.14003
author: Julie Baudry
published in: Bulletin des Sciences Mathématiques
publication date: 2010-08-11T00:00:00Z
review text: The quantum torus is an algebra generated by two elements \(x\) and \(y\) subject to relation \(yx=qxy\) where \(q\) is a complex number. In this article an action of the group \(\mathrm{SL}(2,\mathbb{Z})\) on quantum torus is defined and invariants of finite sub-groups of this group are studied. In particular, \(0\)-degree Hochschild homology of these sub-algebras of invariants are computed.
reviewed by: Alexander Odesskii
Mathematics Subject Classification ID: 14A22
Mathematics Subject Classification ID: 16T20
Mathematics Subject Classification ID: 81R50
zbMATH DE Number: 5768881
zbMATH Keywords: quantum torus
zbMATH Keywords: invariants
zbMATH Keywords: Hochschild homology
MaRDI profile type: Publication
full work available at URL: j.bulsci.2010.03.002
OpenAlex ID: W2088721706
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DOI: 10.1016/J.BULSCI.2010.03.002
description: scientific article; zbMATH DE number 5768881