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Clebsch–Gordan coefficients for the group chains O ⊃ T ⊃ D 2 and T d ⊃ T ⊃D 2 by the method of projective representations
Author(s) -
Herzig P.
Publication year - 1984
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.560260302
Subject(s) - clebsch–gordan coefficients , projective test , pure mathematics , group (periodic table) , mathematics , irreducible representation , spinor , combinatorics , algebra over a field , physics , mathematical physics , quantum mechanics
The spinor representations for the groups forming the chains O ⊃ T ⊃ D 2 and T d ⊃ T ⊃ D 2 are constructed as projective representations. The Clebsch–Gordan coefficients are then calculated using a standard method. Projective factor systems, irreducible representations, canonical bases, and tables of Clebsch–Gordan coefficients are given. The subduction from O to D 3 is discussed.