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arXiv · 2603.17870

Remarks on quadratic left Bol algebras

A. Nourou Issa
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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.

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A. Nourou Issa. 2026-03-18. Remarks on quadratic left Bol algebras. https://arxiv.org/abs/2603.17870

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