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

页码：1001 / 1015

页数：15

共 50 条

[21] THE CLASSIFICATION OF ω-LEFT-SYMMETRIC ALGEBRAS IN LOW DIMENSIONS
Chen, Zhiqi
Wu, Yang
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2023, 60 (03) : 747 - 762
[22] Uniqueness theorems for left-symmetric enveloping algebras
Bolgar, JR
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1996, 120 : 193 - 206
[23] Some Left-symmetric algebras of dimension 4
Shi, Yangliu
Tang, Xiaomin
PROCEEDINGS OF THE SEVENTH INTERNATIONAL CONFERENCE OF MATRICES AND OPERATORS (MAO 2012), 2012, : 215 - 218
[24] Left-symmetric algebras from linear functions
Bai, CN
JOURNAL OF ALGEBRA, 2004, 281 (02) : 651 - 665
[25] Left-symmetric algebras and homogeneous improper affine spheres
Fox, Daniel J. F.
ANNALS OF GLOBAL ANALYSIS AND GEOMETRY, 2018, 53 (03) : 405 - 443
[26] ON A REMARKABLE CLASS OF LEFT-SYMMETRIC ALGEBRAS AND ITS RELATIONSHIP WITH THE CLASS OF NOVIKOV ALGEBRAS
Guediri, Mohammed
COMMUNICATIONS IN ALGEBRA, 2016, 44 (07) : 2919 - 2937
[27] Extending Structures and Classifying Complements for Left-Symmetric Algebras
Yanyong Hong
Results in Mathematics, 2019, 74
[28] Compatible left-symmetric conformal algebras on W(a, b)
Wu, Henan
Hong, Yanyong
COMMUNICATIONS IN ALGEBRA, 2022, 50 (07) : 2954 - 2972
[29] The algebraic and geometric classification of nilpotent left-symmetric algebras
Adashev, Jobir
Kaygorodov, Ivan
Khudoyberdiyev, Abror
Sattarov, Aloberdi
JOURNAL OF GEOMETRY AND PHYSICS, 2021, 167
[30] Extending Structures and Classifying Complements for Left-Symmetric Algebras
Hong, Yanyong
RESULTS IN MATHEMATICS, 2019, 74 (01)

← 1 2 3 4 5 →