From Rota-Baxter Algebras to Pre-Lie Algebras

Huihui An; Chengming Bai

doi:10.1088/1751-8113/41/1/015201

From Rota-Baxter Algebras to Pre-Lie Algebras

Mathematical Physics 2007-12-13 v1 math.MP Quantum Algebra

Authors: Huihui An , Chengming Bai

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Abstract

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.

Keywords

rota-baxter algebras pre-lie algebras associative algebras rota-baxter operators mathematical physics

Cite

@article{arxiv.0711.1389,
  title  = {From Rota-Baxter Algebras to Pre-Lie Algebras},
  author = {Huihui An and Chengming Bai},
  journal= {arXiv preprint arXiv:0711.1389},
  year   = {2007}
}

Comments

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

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