Coxeter element and particle masses

• Laura Brillon ^[1] ; Vadim Schechtman
  1. [1] Université Paul Sabatie
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 22, Nº. 4 (Special Issue: The Mathematics of Joseph Bernstein), 2016, págs. 2591-2609
• Idioma: inglés
• DOI: 10.1007/s00029-016-0283-5
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• Resumen

  • Let gg be a simple Lie algebra of rank r over C,h⊂gC,h⊂g a Cartan subalgebra. We construct a family of r commuting Hermitian operators acting on hh whose eigenvalues are equal to the coordinates of the eigenvectors of the Cartan matrix of gg .