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arXiv · 2410.07496

Admissible Yang-Baxter equation for Nijenhuis perm algebras

Tianshui Ma·Feiyan Song
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Abstract

In this paper, on one hand, based on the classical perm Yang-Baxter equation, we investigate under what conditions a perm algebra must be a Nijenhuis perm algebra. On the other hand, we derive the compatible conditions between classical perm Yang-Baxter equation and Nijenhuis operator by a class of Nijenhuis perm bialgebras.

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Tianshui Ma, Feiyan Song. 2024-10-10. Admissible Yang-Baxter equation for Nijenhuis perm algebras. https://arxiv.org/abs/2410.07496

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