Biderivations of Hom-Lie algebras and superalgebras

Structure theory for nonassociative algebras (17A60) Structure theory for Lie algebras and superalgebras (17B05) Graded Lie (super)algebras (17B70) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Nonassociative algebras satisfying other identities (17A30)

Cites Work

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\(q\)-deformation of the Virasoro algebra with central extension
Hom-Lie superalgebras and Hom-Lie admissible superalgebras
Representations of hom-Lie algebras
\(W\)-algebra \(W\)(2, 2) and the vertex operator algebra \({L(\frac{1}{2},\,0)\,\otimes\, L(\frac{1}{2},\,0)}\)
Quantum group structure of the \(q\)-deformed Virasoro algebra
Biderivations of the block Lie algebras
Biderivations and commutative post-Lie algebra structures on the Lie algebra \(\mathcal{W}(a,b)\)
Commuting maps: a survey.
On generalized biderivations and related maps
\(q\)-deformation of \(W(2, 2)\) Lie algebra associated with quantum groups
Centralizing mappings and derivations in prime rings
Deformations of Lie algebras using \(\sigma\)-derivations
Low dimensional cohomology of Hom-Lie algebras and \(q\)-deformed \(W(2,2)\) algebra
Quasi-hom-Lie algebras, central extensions and 2-cocycle-like identities
Hom-algebra structures
Enveloping algebras of Hom-Lie algebras
Biderivations and linear commuting maps on simple generalized Witt algebras over a field
Linear Super-Commuting Maps and Super-Biderivations on the Super-Virasoro Algebras
Biderivations And Linear Commuting Maps on the Schrödinger-Virasoro Lie Algebra
Hom-Lie Color Algebra Structures
Derivations in Prime Rings
Notes on 1-parameter formal deformations of Hom-associative and Hom-Lie algebras
Hom-algebras and homology
A (p,q)-deformed Virasoro algebra
Biderivations of the twisted Heisenberg–Virasoro algebra and their applications
Biderivations and commuting linear maps on Lie algebras
Biderivations, linear commuting maps and commutative post-Lie algebra structures on W-algebras
A Hom-version of the affinizations of Balinskii–Novikov and Novikov superalgebras
Second cohomology of q-deformed Witt superalgebras
Cohomology of Hom-Lie superalgebras and q-deformed Witt superalgebra

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