Remarks on quadratic left Bol algebras
Rings and Algebras
2026-03-19 v1
Abstract
In this paper the notion of a quadratic (left) Bol algebra is discussed. Several examples of quadratic Bol algebras are given and it is observed that the only two-dimensional quadratic real Bol algebras are quadratic Lie triple systems. Dual representations of Bol algebras are investigated with a particular emphasis on coadjoint representations for quadratic Bol algebras. The notion of T*-extension of a quadratic Bol algebra is introduced.
Keywords
Cite
@article{arxiv.2603.17870,
title = {Remarks on quadratic left Bol algebras},
author = {A. Nourou Issa},
journal= {arXiv preprint arXiv:2603.17870},
year = {2026}
}