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Classical Yang-Baxter equations and Nijenhuis operators for Lie algebras

Published 26 Feb 2025 in math.RA | (2502.18717v2)

Abstract: In this paper the conditions that when a Lie algebra is Nijenhuis are investigated. Furthermore all the Nijenhuis operators on $\mathfrak{sl}_2$ under the standard Cartan-Weyl basis are given. On the other hand, the notion of classical $P$-Nijenhuis Yang-Baxter equations is introduced by means of the bialgebraic theory for Nijenhuis Lie algebras.

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Authors (2)

  1. Haiying Li 
  2. Tianshui Ma 

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