Admissible Yang-Baxter equation for Nijenhuis perm algebras
Tianshui Ma, Feiyan Song
TL;DR
This paper explores the conditions under which perm algebras become Nijenhuis perm algebras by analyzing the classical perm Yang-Baxter equation and Nijenhuis operators, introducing new compatibility conditions.
Contribution
It establishes the relationship between the classical perm Yang-Baxter equation and Nijenhuis perm algebras, providing new criteria and structures for their compatibility.
Findings
Identifies conditions for perm algebras to be Nijenhuis perm algebras.
Derives compatibility conditions between Yang-Baxter equation and Nijenhuis operators.
Introduces Nijenhuis perm bialgebras with new structural insights.
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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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Matrix Theory and Algorithms