Mac Lane method in the investigation of magnetic translation groups

DOI10.1016/S0034-4877(97)84885-9zbMath0888.20028arXivcond-mat/9803186OpenAlexW3103858465MaRDI QIDQ1373567

Wojciech Florek

Publication date: 1 April 1998

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

Full work available at URL: https://arxiv.org/abs/cond-mat/9803186

zbMATH Keywords

finite subgroupsgeneratorscentral extensionsunitary groupsfactor systemsmagnetic translation groups

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Applications of Lie groups to the sciences; explicit representations (22E70) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Extensions, wreath products, and other compositions of groups (20E22) Other geometric groups, including crystallographic groups (20H15)

Related Items (2)

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

• Unnamed Item
• Magnetic translation groups as group extensions
• Magnetic translation groups in \(n\) dimensions
• Cohomology theory in abstract groups. III. Operator homomorphisms of kernels
• Homology

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