A unified theory of the point groups. III. Classification and basis functions of improper point groups

DOI10.1063/1.525737zbMath0577.20038OpenAlexW2012617932MaRDI QIDQ3699010

Shoon Kyung Kim

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1063/1.525737

zbMATH Keywords

irreducible representationsangular momentum eigenfunctionsimproper 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) Other geometric groups, including crystallographic groups (20H15) Applications of linear algebraic groups to the sciences (20G45)

Related Items (5)

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 ⋮ The 32 minimal general generator sets of 230 double space groups ⋮ A new method of constructing the symmetry-adapted linear combinations based on the correspondence theorem and induced representations

Cites Work

• 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 and their general irreducible representations

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