From Rota-Baxter algebras to pre-Lie algebras

被引：45

作者：

An, Huihui ^{[1
]}

Bai, Chengming ^{[2
]}

机构：

[1] Nankai Univ, Dept Math, LPMC, Tianjin 300071, Peoples R China

[2] Nankai Univ, Chern Inst Math, LPMC, Tianjin 300071, Peoples R China

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2008年 / 41卷 / 01期

关键词：

D O I：

10.1088/1751-8113/41/1/015201

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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 <= 3 and their corresponding pre-Lie algebras.

引用

页数：19

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