Derivations and Dimentionally Nilpotent Derivations in Lie Algebras,
Lien de l'article:
https://www.researchgate.net/pubucatlon/281487479
Auteur(s):
Abdoulaye DEMBEGA , Amidou KONKOBO, MOUSSA OUATTARA
Auteur(s) tagués:
Amidou KONKOBO ;
Moussa OUATTARA ;
Résumé
In this paper, we first study derivations in non nilpotent Lie triple algebras. We determine the structure of derivation algebra according to whether it admits an idempotent or a pseudo-idempotent. We study the multiplicative structure of non nil dimensionally nilpotent Lie triple algebras. We show that when n=2 p+1 the adapted basis coincides with the canonical basis of the gametic algebra G(2 p+2,2) or this one obviously associated to a pseudo-idempotent and if n=2 p then the algebra is either one of the precedent case or a conservative Bernstein algebra.
Mots-clés
Dimensionally nilpotent Lie triple algebra pseudo-idempotent Jordan algebra ascending basis