Multiplicative n-Hom-Lie Color Algebras
I Bakayoko, S Silvestrov - … and Applications: SPAS 2017, Västerås and …, 2020 - Springer
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Generalized derivations and Rota-Baxter operators of n-ary Hom-Nambu superalgebras
The aim of this paper is to generalise the construction of n-ary Hom-Lie bracket by means of
an (n-2)(n-2)-cochain of given Hom-Lie algebra to super case inducing n-Hom-Lie …
an (n-2)(n-2)-cochain of given Hom-Lie algebra to super case inducing n-Hom-Lie …
On n-ary Generalization of BiHom-Lie Algebras and BiHom-Associative Algebras
A Kitouni, S Silvestrov, A Makhlouf - International Conference on …, 2017 - Springer
The aim of this paper is to introduce n-ary BiHom-algebras, generalizing BiHom-algebras.
We introduce an alternative concept of BiHom-Lie algebra called BiHom-Lie-Leibniz algebra …
We introduce an alternative concept of BiHom-Lie algebra called BiHom-Lie-Leibniz algebra …
3-Hom-Lie Algebras Based on -Derivation and Involution
V Abramov, S Silvestrov - Advances in Applied Clifford Algebras, 2020 - Springer
We show that, having a Hom-Lie algebra and an element of its dual vector space that
satisfies certain conditions, one can construct a ternary totally skew-symmetric bracket and …
satisfies certain conditions, one can construct a ternary totally skew-symmetric bracket and …
Structure and cohomology of 3-Lie-Rinehart superalgebras
A Ben Hassine, T Chtioui, S Mabrouk… - Communications in …, 2021 - Taylor & Francis
We introduce a concept of 3-Lie-Rinehart superalgebra and systematically describe a
cohomology complex by considering coefficient modules. Furthermore, we study the …
cohomology complex by considering coefficient modules. Furthermore, we study the …
Cohomology and deformations of twisted O-operators on 3-Lie algebras
The purpose of this paper is to introduce and study twisted O-operators on 3-Lie algebras.
We construct an L∞-algebra whose Maurer-Cartan elements are twisted O-operators and …
We construct an L∞-algebra whose Maurer-Cartan elements are twisted O-operators and …
Matrix 3-Lie superalgebras and BRST supersymmetry
V Abramov - International Journal of Geometric Methods in Modern …, 2017 - World Scientific
Given a matrix Lie algebra one can construct the 3-Lie algebra by means of the trace of a
matrix. In the present paper, we show that this approach can be extended to the infinite …
matrix. In the present paper, we show that this approach can be extended to the infinite …
3-ary Hom-Lie superalgebras induced by Hom-Lie superalgebras
B Guan, L Chen, B Sun - Advances in Applied Clifford Algebras, 2017 - Springer
The purpose of this paper is to study the relationships between a Hom-Lie superalgebra and
its induced 3-ary-Hom-Lie superalgebra. We provide an overview of the theory and explore …
its induced 3-ary-Hom-Lie superalgebra. We provide an overview of the theory and explore …
3-BiHom-Lie superalgebras induced by BiHom-Lie superalgebras
The purpose of this paper is to study the relationships between a BiHom-Lie superalgebras
and its induced 3-BiHom-Lie superalgebras. We introduce the notion of (α s, β r) …
and its induced 3-BiHom-Lie superalgebras. We introduce the notion of (α s, β r) …
Twisted O-operators on 3-Lie algebras and 3-NS-Lie algebras
The purpose of this paper is to introduce twisted $\mathcal {O} $-operators on $3 $-Lie
algebras. We define a cohomology of a twisted $\mathcal {O} $-operator $ T $ as the …
algebras. We define a cohomology of a twisted $\mathcal {O} $-operator $ T $ as the …