Rota-Type Operators on 2-Dimensional Pre-Lie Algebras

2025/04/28 by Imed Basdouri, Basdouri, Imed, Bouzid Mosbahi +3 · 1 citation
Mathematics · #Advanced Topics in Algebra #Holomorphic and Operator Theory #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2504.20297

Abstract

This paper studies Rota-Baxter, Reynolds, Nijenhuis, and Averaging operators on 2-dimensional pre-Lie algebras over 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.

Cited by

• Cohomology and deformation theory of Reynolds--Nijenhuis associative algebras

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