Averaging operators on <i>q</i> -deformed Witt and <i>q</i> -deformed <i>W</i> (2, 2) algebras
The aim of this paper is to give some constructions results of averaging operators on Hom-Lie algebras. The homogeneous averaging operators on q-deformed Witt and q-deformed W(2, 2) Hom-algebras are classified. As applications, the induced Hom-Leibniz algebra structures are obtained and their multiplicativity conditions are also given.
Authors
- Sergei Silvestrov (ORCID: https://orcid.org/0000-0003-4554-6528)
- Ismail Laraiedh (ORCID: https://orcid.org/0000-0003-2966-9974)
Institutions
- University of Sfax (TN)
- Shaqra University (SA)
- Mälardalen University (SE)
Publication Details
- Journal
- Communications in Algebra
- Published
- 2025-02-28
- DOI
- https://doi.org/10.1080/00927872.2025.2460101
- Primary Topic
- Advanced Topics in Algebra
- Type
- article
- Field-Weighted Citation Impact
- 0.00