Derivations and dimensionally nilpotent derivations in Lie triple algebras
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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 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=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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Dembega, A., Konkobo, A., & Ouattara, M. (2019). Derivations and dimensionally nilpotent derivations in Lie triple algebras. Gulf Journal of Mathematics, 7(2). https://doi.org/10.56947/gjom.v7i2.192
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