Lie algebras with finite Gelfand-Kirillov dimension

被引：3
|
作者：
Riley, D [1 ]
Usefi, H [1 ]
机构：
[1] Univ Western Ontario, Dept Math, London, ON N6A 5B7, Canada
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2005年 / 133卷 / 06期
关键词：
D O I：
10.1090/S0002-9939-05-07618-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove that every finitely generated Lie algebra containing a nilpotent ideal of class c and finite codimension n has Gelfand-Kirillov dimension at most cn. In particular, finitely generated virtually nilpotent Lie algebras have polynomial growth.
引用
收藏
页码：1569 / 1572
页数：4
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