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arXiv · 2306.16418

Twisted Lie algebras by invertible derivations

Imed Basdouri·Esmael Peyghan·Mohamed Amin Sadraoui
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Abstract

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.

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Imed Basdouri, Esmael Peyghan, Mohamed Amin Sadraoui. 2023-05-25. Twisted Lie algebras by invertible derivations. https://arxiv.org/abs/2306.16418

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