On representations of Bol algebras
Algebraic Geometry
2016-10-05 v2
Abstract
In this paper, we introduce the notion of representation of Bol algebra. We prove an analogue of the classical Engel's theorem and the ex- tension 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.
Keywords
Cite
@article{arxiv.0807.3315,
title = {On representations of Bol algebras},
author = {Ndoune Ndoune and Thomas Bouetou Bouetou},
journal= {arXiv preprint arXiv:0807.3315},
year = {2016}
}
Comments
13 pages, Journal of Generalized Lie Theory and Applications 2015, S2