From Rota-Baxter Algebras to Pre-Lie Algebras

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

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Mathematical Physics, Quantum Algebra, 17B, 81R

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http://salesiana.dossiersoluciones.com/handle/123456789/144058

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0711.1389
 http://arxiv.org/abs/0711.1389
 Journal of Physics A; Mathematical and Theoretical (2008) 015201
 doi:10.1088/1751-8113/41/1/015201

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