Leibniz algebras with absolute maximal Lie subalgebras

• Published in: Algebra and Discrete Mathematics
• Date: 2020
• Main Authors: Biyogmam, G.R., Tcheka, C.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2020
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/188501
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Leibniz algebras with absolute maximal Lie subalgebras / G.R. Biyogmam, C. Tcheka // Algebra and Discrete Mathematics. — 2020. — Vol. 29, № 1. — С. 52–65. — Бібліогр.: 18 назв. — англ.

A Lie subalgebra of a given Leibniz algebra is said to be an absolute maximal Lie subalgebra if it has codimension one. In this paper, we study some properties of non-Lie Leibniz algebras containing absolute maximal Lie subalgebras. When the dimension and codimension of their Lie-center are greater...