Title of article :
Jordan Triples and Operads
Author/Authors :
Allahtan Victor Gnedbaye، نويسنده , , Marc Wambst، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2000
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
Journal title :
Journal of Algebra