n-Dimensional filiform Leibniz algebras of length (n-1) and their derivations

被引：20

作者：

Albeverio, S. ^{[2
,3
]}

Ayupov, Sh. A. ^{[1
]}

Omirov, B. A. ^{[1
]}

Khudoyberdiyev, A. Kh. ^{[4
]}

机构：

[1] Uzbek Acad Sci, Inst Math, Tashkent 100125, Uzbekistan

[2] Univ Bonn, Inst Angew Math, D-53115 Bonn, Germany

[3] CERFIM, Locarno, Switzerland

[4] Natl Univ Uzbekistan, Dept Math, Tashkent 100174, Uzbekistan

来源：

JOURNAL OF ALGEBRA | 2008年 / 319卷 / 06期

关键词：

filiform Leibniz algebra; gradation; natural gradation; length of Leibniz algebra; derivation;

D O I：

10.1016/j.jalgebra.2007.12.014

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work n-dimensional filiform Leibniz algebras admitting a gradation of length (n - 1) are classified. Derivations of such algebras are also described. (C) 2007 Elsevier Inc. All rights reserved.

引用

页码：2471 / 2488

页数：18

共 11 条

[1] On some classes of nilpotent Leibniz algebras
Ayupov, SA
Omirov, BA
[J]. SIBERIAN MATHEMATICAL JOURNAL, 2001, 42 (01) : 15 - 24
[2] CAMACHO L, 2006, INT C MATH MADR 2006, P63
[3] Gomez J.R., 2001, EXTRACTA MATH, V16, P405
[4] Quasi-filiform Lie algebras of maximum length
Gómez, JR
Jiménez-Merchán, A
Reyes, J
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2001, 335 : 119 - 135
[5] GOMEZ JR, ARXIVMATHRA0612735V1
[6] NILPOTENT ALGEBRAS ADMITTING A TORUS OF DERIVATIONS
GOZE, M
HAKIMJANOV, Y
[J]. MANUSCRIPTA MATHEMATICA, 1994, 84 (02) : 115 - 224
[7] Goze M., 1996, MATH ITS APPL, V361
[8] Loday J. -L., 1993, Enseign. Math, V39, P269
[9] UNIVERSAL ENVELOPING-ALGEBRAS OF LEIBNIZ ALGEBRAS AND (CO)HOMOLOGY
LODAY, JL
PIRASHVILI, T
[J]. MATHEMATISCHE ANNALEN, 1993, 296 (01) : 139 - 158
[10] On the derivations of filiform Leibniz algebras
Omirov, BA
[J]. MATHEMATICAL NOTES, 2005, 77 (5-6) : 677 - 685

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