The variety of dual mock-Lie algebras-Reference-Cited by-同舟云学术

The variety of dual mock-Lie algebras

Published:2020-09-01 Issue:2 Volume:28 Page:161-178
ISSN:2336-1298
Container-title:Communications in Mathematics
language:en
Short-container-title:

Author:

Camacho Luisa M.¹,Kaygorodov Ivan²,Lopatkin Viktor³,Salim Mohamed A.⁴

Affiliation:

1. E.T.S.I. Informática, Dpto. Matemática Aplicada I , Universidad de Sevilla Avda . Reina Mercedes s/n , Sevilla , Spain

2. CMCC , Universidade Federal do ABC , Santo André , Brazil Av. dos Estados, 5001 – Bangú, Santo André – SP, 09210-580

3. Laboratory of Modern Algebra and Applications , St. Petersburg State University and St. Petersburg Department of Steklov Mathematical Institute , St. Petersburg , Russia

4. Deptartment of Mathematical Sciences , United Arab Emirates University , , Al Ain , United Arab Emirates

Abstract

Abstract We classify all complex 7- and 8-dimensional dual mock-Lie algebras by the algebraic and geometric way. Also, we find all non-trivial complex 9-dimensional dual mock-Lie algebras.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.sciendo.com/pdf/10.2478/cm-2020-0019

Reference30 articles.

1. [1] H. Abdelwahab, A.J. Calderón, I. Kaygorodov: The algebraic and geometric classification of nilpotent binary Lie algebras. International Journal of Algebra and Computation 29 (6) (2019) 1113–1129.

2. [2] M.A. Alvarez: On rigid 2-step nilpotent Lie algebras. Algebra Colloquium 25 (02) (2018) 349–360.

3. [3] M.A. Alvarez: The variety of 7-dimensional 2-step nilpotent Lie algebras. Symmetry 10 (1) (2018) 26.

4. [4] D. Burde, A. Fialowski: Jacobi–Jordan algebras. Linear Algebra and its Applications 459 (2014) 586–594.10.1016/j.laa.2014.07.034

5. [5] D. Burde, C. Steinho : Classification of orbit closures of 4-dimensional complex Lie algebras. Journal of Algebra 214 (2) (1999) 729–739.

Cited by 14 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. The algebraic and geometric classification of nilpotent binary and mono Leibniz algebras;Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas;2023-12-06

2. A Minimal Parameterization of Rigid Body Displacement and Motion Using a Higher-Order Cayley Map by Dual Quaternions;Symmetry;2023-11-01

3. Degenerations of noncommutative Heisenberg algebras;Communications in Algebra;2023-04-26

4. The algebraic and geometric classification of transposed Poisson algebras;Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas;2023-01-10

5. The algebraic classification of nilpotent Novikov algebras;Filomat;2023