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Averaging operators on q -deformed Witt and q -deformed W (2, 2) algebras

Year: 2025

Type: article

Abstract: 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.

Source: Communications in Algebra

DOI: 10.1080/00927872.2025.2460101

Authors: Ismail Laraiedh, Sergei Silvestrov

Institutions: University of Sfax, Shaqra University, Faculty of Sciences of Sfax, Mälardalen University

Language: English

Topic: Advanced Topics in Algebra

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W4408074479

FWCI:

Cites: 53

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Related to: 10