Magnetic translation groups in n dimensions
Mesoscale and Nanoscale Physics
2015-06-25 v1
Abstract
Magnetic translation groups are considered as central extensions of the translation group T=Z^n by the group of factors (a~gauge group) U(1). The obtained general formulae allow to consider a magnetic field as an~antisymmetric tensor (of rank 2) and factor systems are determined by a transvection of this tensor with a tensor product t \otimes t'.
Cite
@article{arxiv.cond-mat/9803187,
title = {Magnetic translation groups in n dimensions},
author = {Wojciech Florek},
journal= {arXiv preprint arXiv:cond-mat/9803187},
year = {2015}
}
Comments
15 pages, Latex 2.09 Presenetd at Symp. "Quant. Group & Their Appl. in Phys.", Poznan, Oct. 17-20 1995