General irreducibility condition for vector and projective corepresentations of antiunitary groups

DOI10.1063/1.526139zbMath0549.20010OpenAlexW2065731945MaRDI QIDQ3342736

Shoon Kyung Kim

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1063/1.526139

zbMATH Keywords

charactersunitary operatorsirreducibilityanti-unitary representations

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Applications of group representations to physics and other areas of science (20C35) Projective representations and multipliers (20C25)

Related Items (2)

Irreducible projective representations and their physical applications ⋮ A Hamiltonian approach for obtaining irreducible projective representations and the k ⋅ p perturbation for anti-unitary symmetry groups

Cites Work

• On the type and the standardform of induced UA representations
• A unified theory of the point groups. II. The general projective representations and their application to space groups
• A unified theory of the point groups. IV. The general corepresentations of the crystallographic and noncrystallographic Shubnikov point groups
• A unified theory of the point groups. V. The general projective corepresentations of the magnetic point groups and their applications to magnetic space groups
• On the irreducibility of projective corepresentations—Application to double Shubnikov point groups
• Representation Theory for Nonunitary Groups
• Magnetic Groups and Their Corepresentations
• Symmetry Properties of Wave Functions in Magnetic Crystals

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