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N-Derivations for Finitely Generated Graded Lie Algebras

    https://doi.org/10.1142/S1005386716000225Cited by:0 (Source: Crossref)

    The N-derivation is a natural generalization of derivation and triple derivation. Let be a finitely generated Lie algebra graded by a finite-dimensional Cartan subalgebra. In this paper, a sufficient condition for the Lie N-derivation algebra of coinciding with the Lie derivation algebra of is given. As applications, any N-derivation of the Schrödinger-Virasoro algebra, generalized Witt algebra, Kac-Moody algebra or their Borel subalgebra is a derivation.

    Supported by the Natural Science Foundation of Fujian Province, China (2010J05001, 2012J01001), and the Foundation of Pre-research and Development of Fujian University of Technology (GY-Z10076).

    AMSC: 17B40, 17B67, 17B68