The orthogonal systems of functions on lattices of SU(n + 1), n < ∞

Conference paper
Part of the Trends in Mathematics book series (TM)


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.


C-functions S-functions orthogonality congruence classes decomposition matrices 

Mathematics Subject Classification (2000)

0F40 22E70 42B05 


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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Département de physiqueUniversité de MontréalQuébecCanada
  2. 2.Institute of MathematicsUniversity of Biaystok, 1M CiokowskiegoBiaystokPoland

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