MacLane method of group cohomologies and gauge theories on finite lattices

DOI10.1016/0034-4877(94)90018-3zbMath0822.20054OpenAlexW2054212700MaRDI QIDQ1333418

T. Lulek

Publication date: 13 October 1994

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

Full work available at URL: https://doi.org/10.1016/0034-4877(94)90018-3

zbMATH Keywords

group extensionscomputations of second cohomology groupscrystallographic space groupsinequivalent extensionsMacLane free group methodmagnetic translation groups

Mathematics Subject Classification ID

Cohomology of groups (20J06) Groups and algebras in quantum theory (81R99) Extensions, wreath products, and other compositions of groups (20E22) Other geometric groups, including crystallographic groups (20H15)

Related Items (4)

Magnetic translation groups as group extensions ⋮ Magnons as indistinguishable hard-core particles on 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

• Applications of \(S\)-functions to the quantum Hall effect and quantum dots
• Generalized finite space groups
• Magnetic translation groups as group extensions
• Magnetic translation groups on a \(3\times 3\)-torus. Application of the Mac Lane method
• The magnetic translation group in case \(N=2\)
• Fiber structure of extensions of groups in crystallography
• Anyons and quantum groups
• Cohomology theory in abstract groups. III. Operator homomorphisms of kernels
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