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

共 50 条

[41] INNER AND OUTER AUTOMORPHISMS OF FREE METABELIAN NILPOTENT LIE ALGEBRAS
Drensky, Vesselin
Findik, Sehmus
COMMUNICATIONS IN ALGEBRA, 2012, 40 (12) : 4389 - 4403
[42] VARIETIES OF CENTRALLY METABELIAN LIE-ALGEBRAS OVER A FIELD OF CHARACTERISTIC ZERO
MISHCHENKO, SP
MATHEMATICAL NOTES, 1981, 30 (5-6) : 822 - 826
[43] VARIETIES OF HYPERCENTRALLY METABELIAN LIE-ALGEBRAS OVER A FIELD OF ZERO CHARACTERISTIC
MISCHENKO, SP
VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA, 1983, (05): : 33 - 37
[44] VARIETIES OF METABELIAN LIE A-ALGEBRAS .2.
SEINA, GV
VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA, 1978, (03): : 52 - 59
[45] An alternative description of the torsion subgroup of the free centre-by-metabelian group of rank at least four in terms of generators
Kesim, Seyhun
Akgul, Sule
COMMUNICATIONS IN ALGEBRA, 2024, 52 (04) : 1466 - 1485
[46] PARAFREE METABELIAN LIE ALGEBRAS WHICH ARE DETERMINED BY PARAFREE LIE ALGEBRAS
Velioglu, Zehra
COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2019, 68 (01): : 883 - 888
[47] METABELIAN LIE Q-ALGEBRAS
Daniyarova, E. Yu
SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA, 2009, 6 : 26 - 48
[48] On automorphisms of free center-by-metabelian and nilpotent groups and Lie algebras
Kofinas, C. E.
Papistas, A. I.
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2018, 17 (04)
[49] CLASSIFICATION OF METABELIAN LIE-ALGEBRAS
GAUGER, MA
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 179 (MAY) : 293 - 329
[50] DUALITY FOR METABELIAN LIE-ALGEBRAS
LEGER, G
LUKS, E
JOURNAL OF ALGEBRA, 1972, 21 (02) : 266 - &

← 1 2 3 4 5 →