Magnetic translation groups on a \(3\times 3\)-torus. Application of the Mac Lane method

DOI10.1016/0034-4877(94)90020-5zbMath0818.20061OpenAlexW2092072485MaRDI QIDQ1333421

D. Lipiński

Publication date: 17 August 1995

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(94)90020-5

zbMATH Keywords

gauge groupsperiodic boundary conditionsgroup extensionstranslation operatorsinequivalent factor systemsmagnetic translation groupsplanar finite latticesquantum mechanical groups

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Extensions, wreath products, and other compositions of groups (20E22) Other geometric groups, including crystallographic groups (20H15)

Related Items (3)

MacLane method of group cohomologies and gauge theories on finite lattices ⋮ Magnetic translation groups in an n-dimensional torus and their representations ⋮ Energy bands for finite two-dimensional systems in a quantised magnetic field: the symmetry of the model

Cites Work

• Magnetic translation groups as group extensions
• The magnetic translation group in case \(N=2\)
• Cohomology theory in abstract groups. III. Operator homomorphisms of kernels
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