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Magnetic translation groups in n dimensions

Wojciech Florek
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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'.

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Wojciech Florek. 1998-03-14. Magnetic translation groups in n dimensions. https://doi.org/10.1016/0034-4877(96)88955-5

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