Magnetic translation groups as group extension
Mesoscale and Nanoscale Physics
2015-06-25 v1
Abstract
Extensions of a direct product T of two cyclic groups Z_n1 and Z_n2 by an Abelian (gauge) group G with the trivial action of T on G are considered. All possible (nonequivalent) factor systems are determined using the Mac Lane method. Some of resulting groups describe magnetic translation groups. As examples extensions with G=U(1) and G=Z_n are considered and discussed.
Cite
@article{arxiv.cond-mat/9803188,
title = {Magnetic translation groups as group extension},
author = {Wojciech Florek},
journal= {arXiv preprint arXiv:cond-mat/9803188},
year = {2015}
}
Comments
10 pages