Left-symmetric algebras and complete Lie algebras

被引：5

作者：

Bai, CM ^{[1
]}

Meng, DJ

机构：

[1] Nankai Inst Math, Tianjin 300071, Peoples R China

[2] Nankai Univ, Dept Math, Tianjin 300071, Peoples R China

来源：

COMMUNICATIONS IN ALGEBRA | 2002年 / 30卷 / 02期

关键词：

D O I：

10.1081/AGB-120013195

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we discuss compatible left-symmetric algebra structures on some complete Lie algebras, and as an application, we obtain all the derivations of such left-symmetric algebras.

引用

下载

页码：1001 / 1015

页数：15

共 50 条

[41] Complete Lie algebras
Meng, DJ
CHINESE SCIENCE BULLETIN, 1999, 44 (11): : 961 - 964
[42] Nijenhuis geometry II: Left-symmetric algebras and linearization problem for Nijenhuis operators
Konyaev, Andrey Yu.
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2021, 74
[43] Compatible left-symmetric algebraic structures on high rank Witt and Virasoro algebras
Xu, Chengkang
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2022, 21 (05)
[44] COMPLETE LIE-ALGEBRAS AND HEISENBERG ALGEBRAS
MENG, DJ
COMMUNICATIONS IN ALGEBRA, 1994, 22 (13) : 5509 - 5524
[45] Symmetric matrices, orthogonal Lie algebras and Lie-Yamaguti algebras
Benito, Pilar
Bremner, Murray
Madariaga, Sara
LINEAR & MULTILINEAR ALGEBRA, 2015, 63 (06): : 1257 - 1281
[46] SYMMETRIC LIE-ALGEBRAS
WINTER, DJ
JOURNAL OF ALGEBRA, 1985, 97 (01) : 130 - 165
[47] Bijective 1-Cocycles and Classification of 3-Dimensional Left-Symmetric Algebras
Bai, Chengming
COMMUNICATIONS IN ALGEBRA, 2009, 37 (03) : 1016 - 1057
[48] Derivation algebras of centerless perfect Lie algebras are complete
Su, YC
Zhu, LS
JOURNAL OF ALGEBRA, 2005, 285 (02) : 508 - 515
[49] Biderivations of complete Lie algebras
Di Bartolo, Alfonso
La Rosa, Gianmarco
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2023,
[50] Some complete Lie algebras
Jiang, CP
Meng, DJ
Zhang, SQ
JOURNAL OF ALGEBRA, 1996, 186 (03) : 807 - 817

← 1 2 3 4 5 →