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2. Generalized derivations and some structure theorems for Lie algebras.

Author

Dorado-Aguilar, E., García-Delgado, R., Martínez-Sigala, E., Rodríguez-Vallarte, M. C., and Salgado, G.

Subjects
*LIE algebras
Abstract

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 𝔤 admitting a periodic generalized derivation D ∈ Der (− 1 , 1 , 1) (𝔤). [ABSTRACT FROM AUTHOR]

Published
2020
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