Algebraic solutions for point groups: The tetrahedral group for the group chain T⊃C3

DOI10.1063/1.532320zbMath0909.20030OpenAlexW4248204657MaRDI QIDQ4212641

Peng-Dong Fan, Jin-Quan Chen

Publication date: 7 April 1999

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

Full work available at URL: https://doi.org/10.1063/1.532320

zbMATH Keywords

quantum numbersirreducible matricesgroup chainssymmetry adapted functionsdouble-valued representationsirreducible symmetry 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 (4)

Program packages for point groups and space groups with subgroup chain symmetry adaptation ⋮ Algebraic solutions for all dihedral groups ⋮ Algebraic solutions for point groups: The tetrahedral group for the group chain T⊃D2⊃C2 ⋮ Algebraic expressions of the Clebsch-Gordon coefficients of the point group T†

Cites Work

• Algebraic expressions for irreducible bases of icosahedral group
• Factored irreducible symmetry operators
• Point-group symmetrized boson representation. Algebraic solution for symmetry-adapted bases of O h

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