In this paper, we introduce the notion of representation of Bol algebra. We prove an analogue of the classical Engel’s theorem and the extension of Ado-Iwasawa theorem for Bol Algebras. We study the category of representations of Bol algebras and show that it is a tensor category. In the case of regular representations of Bol algebras, we give a complete classification of them for all two-dimensional Bol algebras.
"On Representations of Bol Algebras." J. Gen. Lie Theory Appl. 10 (S2) 1 - 6, 2016. https://doi.org/10.4172/1736-4337.1000S2-005