From Rota-Baxter Algebras to Pre-Lie Algebras

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dc.creatorAn, Huihui
dc.creatorBai, Chengming
dc.date2007-11-09
dc.date.accessioned2026-07-07T08:48:45Z
dc.date.available2026-07-07T08:48:45Z
dc.descriptionRota-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.
dc.description23 pages, appear in Journal of Physics A; Mathematical and Theoretical
dc.identifierhttps://arxiv.org/abs/0711.1389
dc.identifierhttp://arxiv.org/abs/0711.1389
dc.identifierJournal of Physics A; Mathematical and Theoretical (2008) 015201
dc.identifierdoi:10.1088/1751-8113/41/1/015201
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/144058
dc.subjectMathematical Physics
dc.subjectQuantum Algebra
dc.subject17B, 81R
dc.titleFrom Rota-Baxter Algebras to Pre-Lie Algebras
dc.typetext

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