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arXiv · 2510.23612

Non-abelian extensions and Wells exact sequences of Bol algebras

Jingzi Zhang·Tao Zhang
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Abstract

The aim of this paper is to explore non-abelian extensions of Bol algebras and to study the extensibility of a pair of automorphisms within these non-abelian extensions. We begin by researching non-abelian extensions of Bol algebras and categorizing them based on non-abelian cohomology groups. Additionally, we discuss the conditions under which a pair of automorphisms can be extended in the context of non-abelian extensions of Bol algebras and derive the corresponding Wells exact sequences.

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Jingzi Zhang, Tao Zhang. 2025-10-02. Non-abelian extensions and Wells exact sequences of Bol algebras. https://arxiv.org/abs/2510.23612

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