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Journal of Generalized Lie Theory and Applications

ISSN: 1736-4337

Open Access

On Representations of Bol Algebras

Abstract

Ndoune N and Bouetou Bouetou T

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.

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