The orthogonal systems of functions on lattices of SU(n + 1), n < ∞
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The definitions of orbit functions, their orthogonality relations, congruence classes and decomposition matrices are recalled. The orthogonality of the symmetric C- and antisymmetric S-orbit functions, which are given on the fundamental region FM of the weight lattice, for simple Lie group SU(n + 1) of any rank n is defined. The splitting of the weight lattice of An into congruence classes is shown.
KeywordsC-functions S-functions orthogonality congruence classes decomposition matrices
Mathematics Subject Classification (2000)0F40 22E70 42B05
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