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

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

Abstract

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.

Keywords

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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