Journal of Lie Theory· 2026Q2
Admissible Yang–Baxter equation for Nijenhuis perm algebras
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- Q2SCImago
- 2026year
Short summary
This paper identifies conditions under which a perm algebra becomes a Nijenhuis perm algebra and derives compatibility conditions between the classical perm Yang–Baxter equation and Nijenhuis operators using Nijenhuis perm bialgebras.
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Key points
- Investigates conditions for a perm algebra to be a Nijenhuis perm algebra.
- Derives compatible conditions between the classical perm Yang–Baxter equation and Nijenhuis operators.
- Utilizes Nijenhuis perm bialgebras as a tool for derivation.
AI-generated from the title and abstract; the full text is not read.
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.
The authors' abstract, as published at the source. Journal of Lie Theory, 2026 · DOI ↗
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Field: Algebra and Number Theory
Algebra and Number TheoryMathematics