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

  • Piotr Kielanowski
  • Anatol Odzijewicz
  • Emma Previato
Conference paper
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)

20F40 22E70 42B05. 

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Piotr Kielanowski
    • 1
  • Anatol Odzijewicz
    • 2
  • Emma Previato
    • 3
  1. 1.Departamento de FísicaCINVESTAVCiudad de MéxicoMexico
  2. 2.Institute of MathematicsUniversity of BialystokBialystokPoland
  3. 3.Department of Mathematics and StatisticsBoston UniversityBostonUSA

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