Magnetic translation groups in n dimensions

Details Magnetic translation groups in n dimensions Magnetic translation groups in n dimensions

1998-03-14

arxiv.org/abs/cond-mat/9803187v1

Rep. Math. Phys. 38 (1996) 235-250

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

15 pages, Latex 2.09 Presenetd at Symp. "Quant. Group & Their Appl. in Phys.", Poznan, Oct. 17-20 1995

Scientific paper

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'.

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