Drinfeld twisting elements on Hom-bialgebras

3Quantum: Algebra Geometry Information

物理学;数学

Makhlouf, A.^1 ; Torrecillas, B.^2

Université de Haute Alsace, Laboratoire de Mathématiques, Informatique et Applications, 4 rue des Frères Lumière, Mulhouse

F-68093, France^1

Department of Algebra and Analysis, University of Almeria, Almeria

E-04071, Spain^2

关键词: Associative algebras;    Bialgebras;    Element-based;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/532/1/012017/pdf
DOI  :  10.1088/1742-6596/532/1/012017

来源: IOP

【 摘 要 】

The purpose of this paper is to introduce the concept of a twisting element based on a Hom- bialgebra and to use it to provide twists or deformations of Hom-associative algebras. Moreover we review the module theory in Hom-setting and show that a twisting element based on a bialgebra gives rise to a twisting element based on a Hom-bialgebra.