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Rota-Type Operators on 2-Dimensional Pre-Lie Algebras (2504.20297v1)
Published 28 Apr 2025 in math.RA
Abstract: This paper studies Rota-Baxter, Reynolds, Nijenhuis, and Averaging operators on 2-dimensional pre-Lie algebras over $\mathbb{C}$. Using the classification of 2-dimensional pre-Lie algebras and computational tools like Mathematica or Maple, we describe these Rota-type operators in detail. Our results provide a deeper understanding of these operators and their roles in algebraic structures.
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