Magnetic translation groups as group extensions

DOI10.1016/0034-4877(94)90019-1zbMath0814.20032arXivcond-mat/9803188OpenAlexW1986555679MaRDI QIDQ1333419

V. Pereyra

Publication date: 13 June 1995

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

Full work available at URL: https://arxiv.org/abs/cond-mat/9803188

zbMATH Keywords

gauge groupsWeyl-Heisenberg groupcentral group extensionsfinite phase spacefinite translation groupmagnetic 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 (9)

MacLane method of group cohomologies and gauge theories on finite lattices ⋮ Magnetic translation groups on a \(3\times 3\)-torus. Application of the Mac Lane method ⋮ The magnetic translation group in case \(N=2\) ⋮ Representation-theoretic aspects of two-dimensional quantum systems in singular vector potentials: Canonical commutation relations, quantum algebras, and reduction to lattice quantum systems ⋮ Magnetic translation groups in \(n\) dimensions ⋮ Mac Lane method in the investigation of magnetic translation groups ⋮ 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 ⋮ The role of a form of vector potential — normalization of the antisymmetric gauge

Cites Work

• MacLane method of group cohomologies and gauge theories on finite lattices
• The magnetic translation group in case \(N=2\)
• Cohomology theory in abstract groups. III. Operator homomorphisms of kernels
• UNITARY OPERATOR BASES
• Hamilton, Rodrigues, and the Quaternion Scandal
• Homology
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