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arXiv · 1905.12328

Derivations and dimensionally nilpotent derivations in Lie triple algebras

Abdoulaye Dembega·Amidou Konkobo·Moussa Ouattara
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Abstract

In this paper, we first study derivations in non nilpotent Lie triple algebras. We determine the structure of derivation algebra according to whether the algebra admits an idempotent or a pseudo-idempotent. We study the multiplicative structure of non nilpotent dimensionally nilpotent Lie triple algebras. We show that when $n=2p+1$ the adapted basis coincides with the canonical basis of the gametic algebra $G(2p+2,2)$ or this one obviously associated to a pseudo-idempotent and if $n=2p$ then the algebra is either one of the precedent case or a conservative Bernstein algebra.

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BibTeXRIS

Abdoulaye Dembega, Amidou Konkobo, Moussa Ouattara. 2019-05-29. Derivations and dimensionally nilpotent derivations in Lie triple algebras. https://arxiv.org/abs/1905.12328

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