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Permutational–symmetry‐adapted powers of representations of the point groups deduced from the unitary group
Author(s) -
Flurry R. L.,
Siddall T. H.
Publication year - 1980
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.560180410
Subject(s) - group (periodic table) , icosahedral symmetry , unitary state , unitary group , character table , character (mathematics) , point group , point (geometry) , symmetry (geometry) , one dimensional symmetry group , symmetry operation , symmetry group , representation (politics) , pure mathematics , induced representation , mathematics , irreducible representation , group representation , group theory , physics , combinatorics , quantum mechanics , geometry , politics , political science , law
Abstract The construction of symmetrized powers of representations of the point groups can be deduced by decomposing the appropriate representation of the unitary group into the representations of the group of the sphere, and then mapping these representations onto the point group. The method is generally simpler than the traditional method based on the character tables of the symmetric group. As an example, the symmetry‐adapted powers ( N ) of the representations of the icosahedral group are presented for 2≤ N ≤5.