On $(\lambda,\mu,\gamma)$-derivations of BiHom-Lie algebras

DOI10.1007/978-3-031-32009-5_28arXiv2010.09148OpenAlexW3093346397MaRDI QIDQ6119362

Publication date: 22 March 2024

Published in: Non-commutative and Non-associative Algebra and Analysis Structures (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.09148

zbMATH Keywords

derivation centroid BiHom-Lie algebra BiHom-Lie derivation

Mathematics Subject Classification ID

Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Hom-Lie and related algebras (17B61)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
On $(n+1)$-Hom-Lie algebras induced by $n$-Hom-Lie algebras
$q$-deformation of the Virasoro algebra with central extension
Brackets with $(\tau,\sigma)$-derivations and $(p,q)$-deformations of Witt and Virasoro algebras
Generalized derivations of Lie triple systems
Generalized derivations of Lie color algebras
Hom-Lie 2-algebras
Hom-Lie algebras with symmetric invariant nondegenerate bilinear forms
A new approach to hom-Lie bialgebras
Modules over color Hom-Poisson algebras
Hom-Lie superalgebras and Hom-Lie admissible superalgebras
Leibniz and Lie algebra structures for Nambu algebra
$(n+1)$-ary derivations of simple $n$-ary algebras
Representations of hom-Lie algebras
Representations and cohomology of $n$-ary multiplicative Hom-Nambu-Lie algebras
Graded quasi-Lie algebras of Witt type
Some generalized Hom-algebra structures
BiHom-associative algebras, BiHom-Lie algebras and BiHom-bialgebras
Applications of deformed oscillators
Cyclic homology of differential operators, the Virasoro algebra and a $q$-analogue
Characterizations of the quantum Witt algebra
Generalized derivations of Lie algebras
On hom-Lie superalgebras
On Hom-Gerstenhaber algebras, and Hom-Lie algebroids
$\delta$-derivations of prime Lie algebras
On $\delta$-derivations of Lie algebras
Generalized derivations of $n$-BiHom-Lie algebras
On $n$-ary generalization of BiHom-Lie algebras and BiHom-associative algebras
On solvability and nilpotency for $n$-Hom-Lie algebras and $(n+1)$-Hom-Lie algebras induced by $n$-Hom-Lie algebras
Multiplicative $n$-Hom-Lie color algebras
Enveloping algebras of certain types of color Hom-Lie algebras
A review on Hom-Gerstenhaber algebras and Hom-Lie algebroids
Extensions of hom-Lie color algebras
Hom-left-symmetric color dialgebras, Hom-tridendriform color algebras and Yau's twisting generalizations
Some constructions of multiplicative $n$-ary Hom-Nambu algebras
Generalized derivations and Rota-Baxter operators of $n$-ary Hom-Nambu superalgebras
3-Hom-Lie algebras based on $\sigma$-derivation and involution
$(n+1)$-ary derivations of semisimple Filippov algebras
Deformations of Lie algebras using $\sigma$-derivations
Quasi-Lie structure of $\sigma $-derivations of $\mathbb C[t^{\pm 1}$]
On $(\alpha,\beta,\gamma)$-derivations of Lie algebras and corresponding invariant functions
Quasi-hom-Lie algebras, central extensions and 2-cocycle-like identities
$L$-modules, $L$-comodules and Hom-Lie quasi-bialgebras.
Hom-algebra structures
Enveloping algebras of Hom-Lie algebras
Quasi-Lie deformations on the algebra $\mathbb F[t/(t^N)$]
GENERALIZED DEFORMED VIRASORO ALGEBRAS
Generalized derivations of (color)n-ary algebras
Construction of n-Lie algebras and n-ary Hom-Nambu-Lie algebras
Hom-Lie Color Algebra Structures
Hom-bialgebras and comodule Hom-algebras
Alternative algebras admitting derivations with invertible values and invertible derivations
Semi-commutative Galois Extension and Reduced Quantum Plane
Generalized Derivations of Lie Superalgebras
Monoidal Hom–Hopf Algebras
On Derivations of the Ternary Malcev Algebra M ₈
Constructions and Cohomology of Hom–Lie Color Algebras
On Hom–Lie algebras
On a graded q-differential algebra
Ternaryq-Virasoro–Witt Hom–Nambu–Lie algebras
Notes on 1-parameter formal deformations of Hom-associative and Hom-Lie algebras
Graded q-Differential Algebra Approach to q-Connection
On Generalized N-Complexes Coming from Twisted Derivations
Hom-Lie Admissible Hom-Coalgebras and Hom-Hopf Algebras
Lie Color and Hom-Lie Algebras of Witt Type and Their Central Extensions
A Note on Quasi-Lie and Hom-Lie Structures of σ-Derivations of C=[Z 1 ±1 ,…,Z n ±1 ]
The Hom–Yang–Baxter equation, Hom–Lie algebras, and quasi-triangular bialgebras
Hom-algebras and homology
On $ \delta$-derivations of $ n$-ary algebras
HOM-ALGEBRAS AND HOM-COALGEBRAS
Rota–Baxter cosystems and coquasitriangular mixed bialgebras
Generalized derivations and some structure theorems for Lie algebras
Ternary Hom–Nambu–Lie algebras induced by Hom–Lie algebras
Structure and Cohomology of 3-Lie Algebras Induced by Lie Algebras
Geometric aspects of extensions of hom-Lie superalgebras
Nilpotentn-Lie Algebras
Cohomology of Hom-Lie superalgebras and q-deformed Witt superalgebra
Quasi-Deformations of 𝔰𝔩₂(𝔽) Using Twisted Derivations
Enveloping algebras of color hom-Lie algebras

This page was built for publication: On $(\lambda,\mu,\gamma)$-derivations of BiHom-Lie algebras

On \((\lambda,\mu,\gamma)\)-derivations of BiHom-Lie algebras