A right normed basis for free Lie algebras and Lyndon-Shirshov words

被引：14

作者：

Chibrikov, E. S. ^{[1
]}

机构：

[1] Sobolev Inst Math, Novosibirsk 630090, Russia

来源：

JOURNAL OF ALGEBRA | 2006年 / 302卷 / 02期

关键词：

free Lie algebras; linear basis; right normed basis; Lyndon-Shirshov words;

D O I：

10.1016/j.jalgebra.2006.03.036

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article we construct a basis of a free Lie algebra that consists of right normed words, i.e. the words that have the following form: [a(i1) [a(i2) [... [a(lt-1)a(it)]...]]], where a(ip) are free generators of the Lie algebra. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：593 / 612

页数：20

共 17 条

[1]

Blessenohl Dieter, 1993, EXPO MATH, V11, P145

[2]

Bokut L.A., 1994, ALGORITHMIC COMBINAT

[3]

Bokut L.A., 2003, J MATH SCI-U TOKYO, V116, P2894

[4]

Bokut LA., 1972, MATH USSR IZV, V6, P1153, DOI [10.1070/IM1972v006n06ABEH001914, DOI 10.1070/IM1972V006N06ABEH001914]

[5]

Bokut LA., 1963, Algebra i Logika Sem, V2, P13

[6]

Bryant J, 2002, Health Technol Assess, V6, P1

[7] FREE DIFFERENTIAL CALCULUS .4. THE QUOTIENT GROUPS OF THE LOWER CENTRAL SERIES [J].

CHEN, KT ;

FOX, RH ;

LYNDON, RC .

ANNALS OF MATHEMATICS, 1958, 68 (01) :81-95

[8] Invariant bases for free Lie algebras [J].

Guilfoyle, S ;

Stohr, R .

JOURNAL OF ALGEBRA, 1998, 204 (01) :337-346

[9] A BASIS FOR FREE LIE RINGS AND HIGHER COMMUTATORS IN FREE GROUPS [J].

HALL, M .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1950, 1 (05) :575-581

[10]

Kukin G.P., 1978, MAT ZAMETKI, V24, P375

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