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Consejo Nacional de Ciencia y Tecnología, CONACYT: A1-S-45886, FOMIX-YUC 221183
Generically Dependent Continuant
Generalized derivations and some structure theorems for Lie algebras
In this work, we show that the existence of invertible generalized derivations impose strong restrictions on the structure of a complex finite-dimensional Lie algebra. In particular, we recover the fact that a real Lie algebra admitting an abelian complex structure is necessarily solvable. On the other hand, we state a structure theorem for a Lie algebra admitting a periodic generalized derivation D Der(-1,1,1)(). © 2020 World Scientific Publishing Company.
derivations; generalized derivations; gradings on Lie algebras; Lie algebras
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