From Rota-Baxter Algebras to Pre-Lie Algebras

Details From Rota-Baxter Algebras to Pre-Lie Algebras From Rota-Baxter Algebras to Pre-Lie Algebras

2007-11-09

arxiv.org/abs/0711.1389v1

Journal of Physics A; Mathematical and Theoretical (2008) 015201

Physics

Mathematical Physics

23 pages, appear in Journal of Physics A; Mathematical and Theoretical

Scientific paper

10.1088/1751-8113/41/1/015201

Rota-Baxter algebras were introduced to solve some analytic and combinatorial problems and have appeared in many fields in mathematics and mathematical physics. Rota-Baxter algebras provide a construction of pre-Lie algebras from associative algebras. In this paper, we give all Rota-Baxter operators of weight 1 on complex associative algebras in dimension $\leq 3$ and their corresponding pre-Lie algebras.

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