Averaging operators on $q$-deformed Witt and $q$-deformed $W(2,2)$ algebras
Quantum Algebra
2023-04-04 v1 Mathematical Physics
math.MP
Rings and Algebras
Abstract
The aim of this paper is to give some constructions results of averaging operators on Hom-Lie algebras. The homogeneous averaging operators on -deformed Witt and -deformed Hom-algebras are classified. As applications, the induced Hom-Leibniz algebra structures are obtained and their multiplicativity conditions are also given.
Keywords
Cite
@article{arxiv.2304.00662,
title = {Averaging operators on $q$-deformed Witt and $q$-deformed $W(2,2)$ algebras},
author = {Ismail Laraiedh and Sergei Silvestrov},
journal= {arXiv preprint arXiv:2304.00662},
year = {2023}
}