Jordan triples and operads

[摘要] 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 etudions les systemes triples de Jordan en termes d'operades. Nous donnons une description de l'operade quadratique de ces algebres ternaires et montrons que son dual quadratique est l'operade des algebres ternaires partiellement associatives, partiellement antisymetriques. (C) 2000 Academic Press.

[发布日期] 2000-09-15

[关键词] Jordan algebras;Jordan triple system;n-ary algebra;Koszul duality;operad