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
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