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arXiv · 2304.00662

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

Ismail Laraiedh·Sergei Silvestrov
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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.

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Ismail Laraiedh, Sergei Silvestrov. 2023-04-03. Averaging operators on $q$-deformed Witt and $q$-deformed $W(2,2)$ algebras. https://arxiv.org/abs/2304.00662

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