Journal of Lie Theory

no. 2-3
Admissible Yang–Baxter equation for Nijenhuis perm algebras
Ma, Tianshui1; Song, Feiyan1
1School of Mathematics and Statistics, Henan Normal University, Xinxiang 453007, China
Journal of Lie Theory, Volume 36 (2026) no. 2-3, pp. 465-486

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.

Received:
Accepted:
Published online:
DOI: 10.5802/jolt.1436
Classification: 17B38, 16T10, 16T25
Keywords: Nijenhuis operator, perm bialgebra, Yang–Baxter equation

Ma, Tianshui  1 ; Song, Feiyan  1

1 School of Mathematics and Statistics, Henan Normal University, Xinxiang 453007, China 
Ma, Tianshui; Song, Feiyan. Admissible Yang–Baxter equation for Nijenhuis perm algebras. Journal of Lie Theory, Volume 36 (2026) no. 2-3, pp. 465-486. doi: 10.5802/jolt.1436
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