HNN-extension of involutive multiplicative Hom-Lie algebras

DOI10.1007/978-3-031-32009-5_29arXiv2101.01319OpenAlexW3119530968MaRDI QIDQ6119363

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/2101.01319

zbMATH Keywords

involution HNN-extension Hom-Lie algebra Poincaré-Birkhoff-Witt theorem Hom-associative algebra

Mathematics Subject Classification ID

Associative rings and algebras with additional structure (16W99) Hom-Lie and related algebras (17B61)

Cites Work

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On \((n+1)\)-Hom-Lie algebras induced by \(n\)-Hom-Lie algebras
Free involutive Hom-semigroups and Hom-associative algebras
Brackets with \((\tau,\sigma)\)-derivations and \((p,q)\)-deformations of Witt and Virasoro 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
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
A derivation HNN construction for Lie algebras
On hom-Lie superalgebras
On Hom-Gerstenhaber algebras, and Hom-Lie algebroids
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
HNN-extensions of Leibniz algebras
Some constructions of multiplicative \(n\)-ary Hom-Nambu algebras
Generalized derivations and Rota-Baxter operators of \(n\)-ary Hom-Nambu superalgebras
On the Hom-associative Weyl algebras
3-Hom-Lie algebras based on \(\sigma\)-derivation and involution
HNN-extension of Lie superalgebras
Abelian extensions and crossed modules of Hom-Lie algebras
Deformations of Lie algebras using \(\sigma\)-derivations
Quasi-Lie structure of \(\sigma \)-derivations of \(\mathbb C[t^{\pm 1}\)]
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 \(\mathbb F[t/(t^N)\)]
Construction of n-Lie algebras and n-ary Hom-Nambu-Lie algebras
Hom-Lie Color Algebra Structures
Hom-bialgebras and comodule Hom-algebras
Monoidal Hom–Hopf Algebras
Constructions and Cohomology of Hom–Lie Color Algebras
On Hom–Lie algebras
Ternaryq-Virasoro–Witt Hom–Nambu–Lie algebras
Notes on 1-parameter formal deformations of Hom-associative and Hom-Lie algebras
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
HNN-extensions of Lie algebras
HOM-ASSOCIATIVE ORE EXTENSIONS AND WEAK UNITALIZATIONS
Universal enveloping algebras and Poincar\'e-Birkhoff-Witt theorem for involutive Hom-Lie algebras
Ternary Hom–Nambu–Lie algebras induced by Hom–Lie algebras
Structure and Cohomology of 3-Lie Algebras Induced by Lie Algebras
Universal Algebra Applied to Hom-Associative Algebras, and More
Geometric aspects of extensions of hom-Lie superalgebras
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
Embedding Theorems for Groups
Hilbert's basis theorem for non-associative and hom-associative Ore extensions

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