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CHARACTERS OF SOMF FINITE GROUPS
VIBRATIONAL SPECTRA OF POLYATOMIC MOLECULES
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angular momentum arbitrary axiom of countability belong called character characteristic functions class function closed set coefficients commutation compact topological group components condition conjugate classes constant containing continuous function converges corresponding defined denote diagonal dimension direct product electrons elements of G expressed find a finite find a neighborhood finite group finite set frequencies function f(x function on G given group G group operation Hence identity element infinitesimal transformations intersect inverse irreducible representations irreducible sets Lemma limit point Lorentz group mapping Mf(x molecule non-singular obtain open sets orthogonality relations orthonormal parameters particle permutation positive number Proof quantum number representations of G roup satisfying the second scalar second axiom sequence set of elements spin subset Suppose Theorem topological group satisfying topological space unitary values variables vector space volume element wave equation x)dx zero