Quaternionic representations of magnetic groups

DOI10.1063/1.531883zbMath0870.20030OpenAlexW2007667292MaRDI QIDQ4338365

Giuseppe Scolarici, Luigi Solombrino

Publication date: 8 September 1997

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.531883

zbMATH Keywords

quaternionic quantum mechanicsfermionic systemsspatial symmetriesmagnetic groupsdegeneracy of energy levelstime-inversion operators

Mathematics Subject Classification ID

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)

Related Items

Accuracy and stability of quaternion Gaussian elimination ⋮ On condition numbers of quaternion matrix inverse and quaternion linear systems with multiple right-hand sides ⋮ Central projective quaternionic representations ⋮ ALTERNATIVE ALGEBRAIC STRUCTURES FROM BI-HAMILTONIAN QUANTUM SYSTEMS ⋮ Quaternionic symmetry groups and particle multiplets ⋮ Alternative descriptions in quaternionic quantum mechanics ⋮ SPACE–TIME DISCRETE ℚ-SYMMETRIES IMPLEMENTED AS INTERNAL SYMMETRIES

Cites Work

• Notes on quaternionic group representations
• Generalized FS×W versus Dyson’s classification of irreducible representations
• Quaternionic Representations of Compact Groups
• Irreducible linear–antilinear representations and internal symmetries
• The Threefold Way. Algebraic Structure of Symmetry Groups and Ensembles in Quantum Mechanics
• Magnetic Groups and Their Corepresentations

This page was built for publication: Quaternionic representations of magnetic groups