Geodesic
On (σ, τ)-derivations of lie superalgebras
Filomat, Tome 37 (2023) no. 1, p. 179

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DOI

This paper is primarily devoted to studying (σ, τ)-derivations of finite-dimensional Lie super-algebras over an algebraically closed field F. We research some properties of (σ, τ)-derivations and the relationship between the (σ, τ)-derivations and other generalized derivations. Under certain conditions, a left-multiplication structure concerned with (σ, τ)-derivations can induces a left-symmetric superalgebra structure. Let L be a Lie superalgebra, we give a subgroup G of Aut(L), exploiting fundamental properties, we introduce and analyze their interiors, especially focusing on the rationality of the corresponding Hilbert series when G is a cyclic group.
DOI : 10.2298/FIL2301179F
Classification : 17B05, 17B30
Keywords: Lie superalgebras, Generalized derivations, (σ, τ)-derivations, G-derivations 
Yusi Fan; Liangyun Chen. On (σ, τ)-derivations of lie superalgebras. Filomat, Tome 37 (2023) no. 1, p. 179 . doi: 10.2298/FIL2301179F
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     doi = {10.2298/FIL2301179F},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2301179F/}
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