Enveloping algebras of Hom-Lie algebras

@article{Yau2007EnvelopingAO,
  title={Enveloping algebras of Hom-Lie algebras},
  author={Donald Yau},
  journal={Journal of Generalized Lie Theory and Applications},
  year={2007},
  volume={2}
}
  • Donald Yau
  • Published 6 September 2007
  • Mathematics
  • Journal of Generalized Lie Theory and Applications
Enveloping algebras of Hom-Lie and Hom-Leibniz algebras are constructed. 2000 MSC: 05C05, 17A30, 17A32, 17A50, 17B01, 17B35, 17D25 1 
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114 Citations
Highly Influential Citations
4
Background Citations
52
Methods Citations
12

114 Citations

Citation Type

Citation Type

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Module Hom-algebras
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Representations of Hom-Lie Algebras
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HNN-extension of involutive multiplicative Hom-Lie algebras
The construction of HNN-extensions of involutive Hom-associative algebras and involutive Hom-Lie algebras is described. Then, as an application of HNN-extension, by using the validity of…
On (n+1)-Hom-Lie algebras induced by n-Hom-Lie algebras
Abstract The purpose of this paper is to study the relationships between an n-Hom-Lie algebra and its induced (n+1)-Hom-Lie algebra. We provide an overview of the theory and explore structure…
Some remarks on Hom-modules and Hom-path algebras
This paper deals with injective and projective right Hom-H-modules for a Hom-algebra H. In particular, Baer Criterion of injective Hom-module is obtained, and it is shown that HomModH is an Abelian…
Hom-bialgebras and Comodule Algebras
We construct a Hom-bialgebra M(2) representing the functor of 2 × 2-matrices on Hom-associative algebras. We also construct a Hom-algebra analogue of the affine plane and show that it is a comodule…
Morphisms Cohomology and Deformations of Hom-algebras
The purpose of this paper is to define cohomology complexes and study deformation theory of Hom-associative algebra morphisms and Hom-Lie algebra morphisms. We discuss infinitesimal deformations,…
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