Some aspects of Leibniz algebra theory

• Published in: Algebra and Discrete Mathematics
• Date: 2017
• Main Authors: Kirichenko, V.V., Kurdachenko, L.A., Pypka, A.A., Subbotin, I.Ya.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2017
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/156236
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Some aspects of Leibniz algebra theory / V.V. Kirichenko, L.A. Kurdachenko, A.A. Pypka, I.Ya. Subbotin // Algebra and Discrete Mathematics. — 2017. — Vol. 24, № 1. — С. 1-33. — Бібліогр.: 48 назв. — англ.

One of the key tendencies in the development of Leibniz algebra theory is the search for analogues of the basic results of Lie algebra theory. In this survey, we consider the reverse situation. Here the main attention is paid to the results reflecting the difference of the Leibniz algebras from the...