Taming of the wild group of magnetic translations
arXiv:cond-mat/9701014 · doi:10.1063/1.531917
Abstract
We use a theorem of Auslander and Kostant on the representation theory of solvable Lie-groups for the study of some groups necessary for the description of certain quasi-periodic systems of solid-state physics. We show that the magnetic translation group is tame (Type I) if the magnetic field is not constant but fluctuating.
6 pages, to appear in the special issue "Mathematical Methods in Condensed Matter Physics" of J.Math.Phys