The algebraic classification of nilpotent Novikov algebras

被引：2

作者：

Abdurasulov, Kobiljon ^{[1
]}

Kaygorodov, Ivan ^{[2
,3
,4
]}

Khudoyberdiyev, Abror ^{[1
,5
]}

机构：

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

[2] Univ Beira Interior, CMA UBI, Covilha, Portugal

[3] Moscow Ctr Fundamental & Appl Math, Moscow, Russia

[4] St Petersburg Univ, St Petersburg, Russia

[5] Natl Univ Uzbekistan, Tashkent, Uzbekistan

来源：

FILOMAT | 2023年 / 37卷 / 20期

基金：

俄罗斯科学基金会;

关键词：

Novikov algebras; Nilpotent algebras; Algebraic classification; Central extension;

D O I：

10.2298/FIL2320617A

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to the complete algebraic classification of complex 5-dimensional nilpotent Novikov algebras.

引用

页码：6617 / 6664

页数：48

共 50 条

[21] The algebraic and geometric classification of nilpotent right alternative algebras
Ismailov, Nurlan
Kaygorodov, Ivan
Mustafa, Manat
PERIODICA MATHEMATICA HUNGARICA, 2022, 84 (01) : 18 - 30
[22] The Algebraic and Geometric Classification of Nilpotent Right Commutative Algebras
Jobir Adashev
Ivan Kaygorodov
Abror Khudoyberdiyev
Aloberdi Sattarov
Results in Mathematics, 2021, 76
[23] 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
[24] The algebraic and geometric classification of nilpotent binary and mono Leibniz algebras
Abdurasulov, Kobiljon
Kaygorodov, Ivan
Khudoyberdiyev, Abror
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2024, 118 (01)
[25] The algebraic and geometric classification of nilpotent binary and mono Leibniz algebras
Kobiljon Abdurasulov
Ivan Kaygorodov
Abror Khudoyberdiyev
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2024, 118
[26] Classification of Novikov algebras
Dietrich Burde
Willem de Graaf
Applicable Algebra in Engineering, Communication and Computing, 2013, 24 : 1 - 15
[27] Classification of Novikov algebras
Burde, Dietrich
de Graaf, Willem
APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, 2013, 24 (01) : 1 - 15
[28] One-generated nilpotent Novikov algebras
Camacho, Luisa M.
Karimjanov, Iqboljon
Kaygorodov, Ivan
Khudoyberdiyev, Abror
LINEAR & MULTILINEAR ALGEBRA, 2022, 70 (02): : 331 - 365
[29] A Lie algebraic approach to Novikov algebras
Bai, CM
Meng, DJ
JOURNAL OF GEOMETRY AND PHYSICS, 2003, 45 (1-2) : 218 - 230
[30] The algebraic and geometric classification of nilpotent weakly associative and symmetric Leibniz algebras
Alejandra Alvarez, Maria
Kaygorodov, Ivan
JOURNAL OF ALGEBRA, 2021, 588 : 278 - 314

← 1 2 3 4 5 →