On the classification of rational quantum tori and the structure of their automorphism group
Rings and Algebras
2007-05-23 v5 Group Theory
Abstract
An n-dimensional quantum torus is a twisted group algebra of the group . 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 the natural exact sequence describing the automorphism group of the quantum torus splits over any field.
Keywords
Cite
@article{arxiv.math/0511263,
title = {On the classification of rational quantum tori and the structure of their automorphism group},
author = {Karl-Hermann Neeb},
journal= {arXiv preprint arXiv:math/0511263},
year = {2007}
}
Comments
Section II has been reformulated, in part. Prop. II.3. Due to a hint of Ph. Gille, Problem II is now taken care of