Twisted Lie algebras by invertible derivations

Twisted Lie algebras by invertible derivations

In this paper, we introduce an algebra structure denoted by InvDer algebra whose which we twist an algebra thanks to an invertible derivation, where its inverse is also a derivation. We define InvDer Lie algebras, InvDer associated algebras, InvDer zinbiel algebras and InvDer dendriforme algebras. W...

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Bibliographic Details
Main Authors: Basdouri, Imed, Peyghan, Esmael, Sadraoui, Mohamed Amin
Format: Journal Article
Language:English
Published: 25-05-2023
Subjects:
Mathematics - Rings and Algebras
Online Access:Get full text
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Summary:In this paper, we introduce an algebra structure denoted by InvDer algebra whose which we twist an algebra thanks to an invertible derivation, where its inverse is also a derivation. We define InvDer Lie algebras, InvDer associated algebras, InvDer zinbiel algebras and InvDer dendriforme algebras. We also study the relations between these structures using the Rota-Baxter operators and the endomorphism operators.
DOI:10.48550/arxiv.2306.16418