Semisimple Leibniz algebras, their derivations and automorphisms

被引:6
作者
Ayupov, Shavkat [1 ]
Kudaybergenov, Karimbergen [2 ]
Omirov, Bakhrom [3 ]
Zhao, Kaiming [4 ,5 ]
机构
[1] Uzbek Acad Sci, VI Romanovskiy Inst Math, Tashkent, Uzbekistan
[2] Karakalpak State Univ, Dept Math, Nukus, Uzbekistan
[3] Natl Univ Uzbekistan, Dept Math, 4 Univ St, Tashkent 100174, Uzbekistan
[4] Wilfrid Laurier Univ, Dept Math, Waterloo, ON, Canada
[5] Hebei Normal Teachers Univ, Coll Math & Informat Sci, Shijiazhuang, Hebei, Peoples R China
基金
加拿大自然科学与工程研究理事会;
关键词
M; Chebotar; Lie algebra; Leibniz algebra; simple algebra; semisimple algebra; irreducible module; derivation; automorphism;
D O I
10.1080/03081087.2019.1567674
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The present paper is devoted to the description of the structures of finite-dimensional semisimple Leibniz algebras over complex numbers, their derivations and automorphisms.
引用
收藏
页码:2005 / 2019
页数:15
相关论文
共 16 条
  • [1] On nilpotent and simple Leibniz algebras
    Albeverio, S
    Ayupov, SA
    Omirov, BA
    [J]. COMMUNICATIONS IN ALGEBRA, 2005, 33 (01) : 159 - 172
  • [2] Albeverio SA., 2006, Rev. Mat. Complut, V19, P183
  • [3] [Anonymous], 1973, Compact Lie groups and their representations
  • [4] Ayupov Sh.A., 2017, ARXIV170310506
  • [5] Deformations and geometric rigidity of Leibniz algebras
    Balavoine, D
    [J]. COMMUNICATIONS IN ALGEBRA, 1996, 24 (03) : 1017 - 1034
  • [6] ON LEVI'S THEOREM FOR LEIBNIZ ALGEBRAS
    Barnes, Donald W.
    [J]. BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2012, 86 (02) : 184 - 185
  • [7] Camacho LM, 2017, B MALAYS MATH SCI SO, V40, P599, DOI 10.1007/s40840-017-0458-z
  • [8] THE CLASSIFICATION OF NATURALLY GRADED p-FILIFORM LEIBNIZ ALGEBRAS
    Camacho, L. M.
    Gomez, J. R.
    Gonzalez, A. J.
    Omirov, B. A.
    [J]. COMMUNICATIONS IN ALGEBRA, 2011, 39 (01) : 153 - 168
  • [9] Naturally graded quasi-filiform Leibniz algebras
    Camacho, L. M.
    Gomez, J. R.
    Gonzalez, A. J.
    Omirov, B. A.
    [J]. JOURNAL OF SYMBOLIC COMPUTATION, 2009, 44 (05) : 527 - 539
  • [10] Classification of solvable Leibniz algebras with null-filiform nilradical
    Casas, J. M.
    Ladra, M.
    Omirov, B. A.
    Karimjanov, I. A.
    [J]. LINEAR & MULTILINEAR ALGEBRA, 2013, 61 (06) : 758 - 774