Non-abelian extensions and Wells exact sequences of Bol algebras
Jingzi Zhang, Tao Zhang

TL;DR
This paper investigates non-abelian extensions of Bol algebras, classifies them via cohomology, and derives Wells exact sequences to understand automorphism extensibility within these structures.
Contribution
It introduces a classification of non-abelian Bol algebra extensions using cohomology and establishes Wells exact sequences for automorphism extension analysis.
Findings
Classification of non-abelian extensions via cohomology groups
Conditions for automorphism extension in non-abelian extensions
Derivation of Wells exact sequences for Bol algebras
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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