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From Rota-Baxter Algebras to Pre-Lie Algebras

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 نشر من قبل Chengming Bai
 تاريخ النشر 2007
  مجال البحث فيزياء
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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.



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