On n-Hom-pre-Lie superalgebras structures and their representations

Othmen Ncib; Sihem Sendi

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arXiv · 2209.00165

On n-Hom-pre-Lie superalgebras structures and their representations

Othmen Ncib·Sihem Sendi

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Abstract

In this paper, we introduce the notion of n-Hom-pre-Lie superalgebras. We investigate the representation theory of n-Hom-pre-Lie superalgebras and we give some related results and structures based on Rota-Baxter operators, O-operators and Nijenhuis operators. Moreover, we study relationships between n-Hom-pre-Lie superalgebras and its induced Hom-pre-Lie superalgebras. The same procedure is applied for the representations of n- Hom-pre-Lie superalgebras.

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Othmen Ncib, Sihem Sendi. 2022-09-01. On n-Hom-pre-Lie superalgebras structures and their representations. https://arxiv.org/abs/2209.00165

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