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.

引用

页码：491 / 502

页数：12

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