Commutator Width of Elements in a Free Metabelian Lie Algebra

被引：2
|
作者：
Poroshenko, E. N. [1 ]
机构：
[1] Novosibirsk State Tech Univ, Novosibirsk 630092, Russia
来源：
ALGEBRA AND LOGIC | 2014年 / 53卷 / 05期
关键词：
free metabelian Lie algebra; width of element in derived algebra; equation; solvability;
D O I：
10.1007/s10469-014-9298-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let M(A) be a free metabelian Lie algebra with a finite generating set A over an algebraically closed field F of characteristic zero, in which the problem of there being solutions to a system of linear equations is decided algorithmically, and let M'(A) be the derived subalgebra of M(A). We present an algorithm for finding width of elements in M'(A).
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页码：377 / 396
页数：20
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