scientific article; zbMATH DE number 721595

zbMath0831.20002MaRDI QIDQ4322562

O. V. Kovalev

Publication date: 12 February 1995

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zbMATH Keywords

multipliersisotropy subgroupsirreducible representationswave functionsunitary operatorssymmetry transformationsinduced representationsprojective representationscorepresentationslocal groupsBrillouin zonecrystallographic point groupscrystallographic space groupsband representationsWyckoff positions3-dimensional space groupslinear representation spaceloaded representationsposition symbolssubgroup of lattice translationstables of irreducible representations

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Other geometric groups, including crystallographic groups (20H15) Applications of linear algebraic groups to the sciences (20G45) Reflection groups, reflection geometries (51F15) Research exposition (monographs, survey articles) pertaining to group theory (20-02)

Related Items (7)

DISCRETE SYMMETRY AND STABILITY IN HAMILTONIAN DYNAMICS ⋮ Double line groups: structure, irreducible representations and spin splitting of the bands ⋮ Induced representation method in the theory of electron structure and superconductivity ⋮ Interactions between normal modes in nonlinear dynamical systems with discrete symmetry. Exact results ⋮ Explorations of the microstructure of crystalline quantum many-body systems ⋮ Analytical and numerical (Monte Carlo) studies of point and space group symmetry-breaking in the liquid-solid phase transition. ⋮ Atomic order in the spinel structure – a group-theoretical analysis

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