A unified theory of the point groups and their general irreducible representations

DOI10.1063/1.524777zbMath0501.20009OpenAlexW2071163478MaRDI QIDQ3966335

Shoon Kyung Kim

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1063/1.524777

zbMATH Keywords

irreducible representationsunitary matricesdouble point groups

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)

Related Items (5)

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. III. Classification and basis functions of improper point 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 ⋮ A unified theory of point groups. VI. The projective corepresentations of the magnetic point groups of infinite order

Cites Work

• The theory of spinors via involutions and its application to the representations of the Lorentz group

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