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- Saadaoui, Nejib, et al.
(författare)
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On (λ,μ,γ)-Derivations of BiHom-Lie Algebras
- 2023
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Ingår i: Non-commutative and Non-associative Algebra and Analysis Structures. - : Springer. - 9783031320088 ; , s. 761-789
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Konferensbidrag (refereegranskat)abstract
- In this paper, we generalize the results about generalized derivations of Lie algebras to the case of BiHom-Lie algebras. In particular we give the classification of generalized derivations of Heisenberg BiHom-Lie algebras. The definition of the generalized derivation depends on some parameters (λ, μ, γ) ∈ C3. In particular for (λ, μ, γ) = (1, 1, 1 ), we obtain classical concept of derivation of BiHom-Lie algebra and for (λ, μ, γ) = (1, 1, 0 ) we obtain the centroid of BiHom-Lie algebra. We give classifications of 2-dimensional BiHom-Lie algebra, centroids and derivations of 2-dimensional BiHom-Lie algebras.
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