限制pre-李代数

关宝玲, 陈良云

数学学报 ›› 2017, Vol. 60 ›› Issue (2) : 185-200.

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PDF(539 KB)
数学学报 ›› 2017, Vol. 60 ›› Issue (2) : 185-200. DOI: 10.12386/A2017sxxb0016
论文

限制pre-李代数

    关宝玲1, 陈良云2
作者信息 +

On Restricted pre-Lie Algebras

    Bao Ling GUAN1, Liang Yun CHEN2
Author information +
文章历史 +

摘要

研究限制pre-李代数的结构,给出了限制pre-李代数和可限制pre-李代数的定义,得到了限制pre-李代数的p-映射性质和可限制pre-李代数的性质,还讨论了带有半单元的限制pre-李代数及拟环面限制pre-李代数和分解唯一性定理.

Abstract

The paper studies the structure of restricted pre-Lie algebras. More specifically speaking, we first give the definitions of restricted pre-Lie algebras and restrictable pre-Lie algebras. Second, we obtain some properties of p-mappings and restrictable preLie algebras, and research restricted pre-Lie algebras with semisimple elements. Finally, quasi-toral restricted pre-Lie algebras are discussed and the uniqueness of decomposition for restricted pre-Lie algebras is determined.

关键词

可限制pre-李代数 / 半单元 / 环面

Key words

restricted pre-Lie algebras / semisimple elements / tori

引用本文

导出引用
关宝玲, 陈良云. 限制pre-李代数. 数学学报, 2017, 60(2): 185-200 https://doi.org/10.12386/A2017sxxb0016
Bao Ling GUAN, Liang Yun CHEN. On Restricted pre-Lie Algebras. Acta Mathematica Sinica, Chinese Series, 2017, 60(2): 185-200 https://doi.org/10.12386/A2017sxxb0016

参考文献

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基金

国家自然科学基金资助项目(11171055,11471090)

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