Admissible Yang-Baxter equation for Nijenhuis perm algebras

Published 10 Oct 2024 in math.RA | (2410.07496v2)

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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