On the classification of rational quantum tori and the structure of their automorphism group

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dc.creatorNeeb, Karl-Hermann
dc.date2005-11-10
dc.date2007-02-19
dc.date.accessioned2026-07-07T07:47:19Z
dc.date.available2026-07-07T07:47:19Z
dc.descriptionAn n-dimensional quantum torus is a twisted group algebra of the group $\Z^n$. It is called rational if all invertible commutators are roots of unity. In the present note we describe a normal form for rational n-dimensional quantum tori over any field. Moreover, we show that for $n = 2$ the natural exact sequence describing the automorphism group of the quantum torus splits over any field.
dc.descriptionSection II has been reformulated, in part. Prop. II.3. Due to a hint of Ph. Gille, Problem II is now taken care of
dc.identifierhttps://arxiv.org/abs/math/0511263
dc.identifierhttp://arxiv.org/abs/math/0511263
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/124125
dc.subjectRings and Algebras
dc.subjectGroup Theory
dc.subject16S35
dc.titleOn the classification of rational quantum tori and the structure of their automorphism group
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