alexa N-derivations for finitely generated graded Lie algebras


Journal of Generalized Lie Theory and Applications

Author(s): Cui Chen, Haifeng Lian

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N-derivation is the natural generalization of derivation and triple deriva-tion. Let L be a finitely generated Lie algebra graded by a finite dimensional Cartan subalgebra. In this paper, a sufficient condition for LieN-derivation algebra ofLco-inciding with Lie derivation algebra ofLis given. As applications, anyN-derivationof Schr ̀ˆodinger-Virasoro algebra, generalized Witt algebras, Kac-Moody algebrasand their Borel subalgebras, is a derivation.

This article was published in Math.RA and referenced in Journal of Generalized Lie Theory and Applications

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