Relations Between Combinatorial Structures and Lie Algebras: Centers and Derived Lie Algebras

被引：0

作者：

Ceballos, Manuel ^{[1
]}

Nunez, Juan ^{[1
]}

Tenorio, Angel F. ^{[2
]}

机构：

[1] Univ Seville, Fac Matemat, Dept Geometr & Tropol, E-41080 Seville, Spain

[2] Univ Pablo Olavide, Escuela Politecn Super, Dept Econ Metodos Cuantitativos & Ha Econ, Seville 41013, Spain

来源：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2015年 / 38卷 / 02期

关键词：

Digraph; Combinatorial structure; Lie algebra; Center; Derived algebra;

D O I：

10.1007/s40840-014-0034-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study how two important ideals of a given Lie algebra (namely, the center and the derived Lie algebra ) can be translated into the language of Graph Theory. In this way, we obtain some criteria and characterizations of these ideals using Graph Theory.

引用

页码：529 / 541

页数：13

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