FAITHFUL REPRESENTATIONS OF LEIBNIZ ALGEBRAS

被引:10
作者
Barnes, Donald W. [1 ]
机构
[1] Univ Sydney, Sch Math & Stat F07, Sydney, NSW 2006, Australia
关键词
Leibniz algebras; saturated formations; LIE-ALGEBRAS;
D O I
10.1090/S0002-9939-2013-11788-0
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Let L be a Leibniz algebra of dimension n. We prove the existence of a faithful L-module of dimension less than or equal to n + 1.
引用
收藏
页码:2991 / 2995
页数:5
相关论文
共 9 条
[1]  
Ayupov SA, 1998, ALGEBRA AND OPERATOR THEORY, P1
[2]  
Barnes D. W., 2011, COMM ALGEBR IN PRESS
[3]   Ado-Iwasawa extras [J].
Barnes, DW .
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2005, 78 :407-421
[4]   ON THEORY OF SOLUBLE LIE ALGEBRAS [J].
BARNES, DW ;
GASTINEAU, HM .
MATHEMATISCHE ZEITSCHRIFT, 1968, 106 (05) :343-+
[5]  
Hochschild G., 1966, P AM MATH SOC, V17, P531
[6]  
Iwasawa K., 1948, JPN J MATH, V19, P405
[7]   Leibniz representations of Lie algebras [J].
Loday, JL ;
Pirashvili, T .
JOURNAL OF ALGEBRA, 1996, 181 (02) :414-425
[8]   On nilpotent properties of Leibniz algebras [J].
Patsourakos, Allexandros .
COMMUNICATIONS IN ALGEBRA, 2007, 35 (12) :3828-3834
[9]  
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