• Title of article

    Jordan Triples and Operads

  • Author/Authors

    Allahtan Victor Gnedbaye، نويسنده , , Marc Wambst، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2000
  • Pages
    14
  • From page
    744
  • To page
    757
  • Abstract
    We study the Jordan triple systems in terms of operads. We give the description of the operad of these ternary algebras as a quadratic operad and prove that the quadratic dual of this operad is the operad of partially antisymmetric, partially associative ternary algebras. Nous étudions les systèmes triples de Jordan en termes dʹopérades. Nous donnons une description de lʹopérade quadratique de ces algèbres ternaires et montrons que son dual quadratique est lʹopérade des algèbres ternaires partiellement associatives, partiellement antisymétriques.
  • Keywords
    Jordan triple system , n-ary algebra , Operad , Jordan algebras , Koszul duality
  • Journal title
    Journal of Algebra
  • Serial Year
    2000
  • Journal title
    Journal of Algebra
  • Record number

    695146