Classification of Five-Dimensional Symmetric Leibniz Algebras

被引:1
作者
Choriyeva, Iroda [1 ,2 ]
Khudoyberdiyev, Abror [1 ,2 ]
机构
[1] Uzbek Acad Sci, Inst Math, Tashkent, Uzbekistan
[2] Natl Univ Uzbekistan, Tashkent, Uzbekistan
关键词
Symmetric Leibniz algebras; Solvable algebras; Automorphism; LIE-ALGEBRAS; FIELDS;
D O I
10.1007/s41980-024-00874-z
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we give the complete classification of 5-dimensional complex solvable symmetric Leibniz algebras.
引用
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页数:32
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共 30 条
[1]   A class of Lie racks associated to symmetric Leibniz algebras [J].
Abchir, Hamid ;
Abid, Fatima-Ezzahrae ;
Boucetta, Mohamed .
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2022, 21 (11)
[2]  
ALBEVERIO S, 2006, EXTRACTA MATH, V21, P197
[3]   Poisson algebras and symmetric Leibniz bialgebra structures on oscillator Lie algebras [J].
Albuquerque, H. ;
Barreiro, E. ;
Benayadi, S. ;
Boucetta, M. ;
Sanchez, J. M. .
JOURNAL OF GEOMETRY AND PHYSICS, 2021, 160
[4]   The algebraic and geometric classification of nilpotent weakly associative and symmetric Leibniz algebras [J].
Alejandra Alvarez, Maria ;
Kaygorodov, Ivan .
JOURNAL OF ALGEBRA, 2021, 588 :278-314
[5]  
Ayupov S., 2019, Leibniz algebras: structure and classification
[6]   ON LEVI'S THEOREM FOR LEIBNIZ ALGEBRAS [J].
Barnes, Donald W. .
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2012, 86 (02) :184-185
[7]   A New Approach to Leibniz Bialgebras [J].
Barreiro, Elisabete ;
Benayadi, Said .
ALGEBRAS AND REPRESENTATION THEORY, 2016, 19 (01) :71-101
[8]   ON REPRESENTATIONS OF SYMMETRIC LEIBNIZ ALGEBRAS [J].
Benayadi, Said .
GLASGOW MATHEMATICAL JOURNAL, 2020, 62 :S99-S107
[9]  
Benayadi S, 2014, J LIE THEORY, V24, P737
[10]  
BLOKH A, 1965, DOKL AKAD NAUK SSSR+, V165, P471