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Jordan Triples and Operads

✍ Scribed by Allahtan Victor Gnedbaye; Marc Wambst

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
114 KB
Volume
231
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.

✦ Synopsis

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 d'opérades. Nous donnons une description de l'opérade quadratique de ces algèbres ternaires et montrons que son dual quadratique est l'opérade des algèbres ternaires partiellement associatives, partiellement antisymétriques.

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