期刊信息
- 刊名： 河北师范大学学报（自然科学版）Journal of Hebei Normal University (Natural Science)
- 主办： 河北师范大学
- ISSN： 1000-5854
- CN： 13-1061/N
- 中国科技核心期刊
- 中国期刊方阵入选期刊
- 中国高校优秀科技期刊
- 华北优秀期刊
- 河北省优秀科技期刊
李代数的Rota-Baxter算子
-
1. 河北医科大学 数学教研室, 河北 石家庄 050017;
2. 河北医科大学 物理教研室, 河北 石家庄 050017 -
DOI：10.11826/j.issn.1000-5854.2014.06.001
Rota-Baxter Operators of Lie Algebras
摘要/Abstract
摘要：
研究了复数域上导代数维数等于1的2-维和3-维李代数的Rota-Baxter算子的结构.给出了导代数维数等于1的2-维和3-维李代数的权为0的Rota-Baxter算子的具体表达式.并通过Rota-Baxter算子的可逆性讨论了李代数的幂零性.
Abstract：
The Rota-Baxter operators have wide applications in mathematical physics. In this paper, we investigate the structure of Rota-Baxter operators on the two and three dimensional Lie algebras whose derived algebras are one dimensional. We give an explicit expression of every Rota-Baxter operator which has the weight zero, and also discuss the nilpotent property of Lie algebras by means of the reversibility of Rota-Baxter operators.
关键词
关键词：
李代数
;
导代数
;
Rota-Baxter算子
Key words：
Lie algebra
;
Rota-Baxter operator
;
derivation algebra
参考文献 5
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