Free centre-by-metabelian Lie algebras in characteristic 2

被引：4
|
作者：
Kovacs, L. G. [1 ]
Stoehr, Ralph [2 ]
机构：
[1] Australian Natl Univ, Canberra, ACT 0200, Australia
[2] Univ Manchester, Sch Math, Manchester M13 9PL, Lancs, England
来源：
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2014年 / 46卷
基金：
英国工程与自然科学研究理事会;
关键词：
D O I：
10.1112/blms/bdu011
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study free centre-by-metabelian Lie algebras over a field of characteristic 2. By using homological methods, we determine the dimensions of the fine homogeneous components of the second-derived algebra. In conjunction with earlier results by Mansuroglu and the second author, this leads to a complete description of the additive structure of the second-derived ideal in the free centre-by-metabelian Lie ring.
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页码：491 / 502
页数：12
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