Work

Non-abelian extensions and Wells exact sequences of Hom-pre-Lie algebras

Year: 2025

Type: article

Abstract: In this paper, we investigate non-abelian extensions of Hom-pre-Lie algebras and extensibility of pairs of automorphisms about non-abelian extensions. Consequently, we establish the Wells short exact sequence connecting automorphism groups and non-abelian cohomology groups of Hom-pre-Lie algebras. Finally, we specialize these results to the case of abelian extensions.

Source: Mathematics Open

DOI: 10.1142/s2811007225500208

Authors: Qinxiu Sun, Weiping Jiao

Institution: Zhejiang University of Science and Technology

Language: English

Topic: Advanced Topics in Algebra

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: Natural Science Foundation of Zhejiang Province, Science and Technology Program of Zhejiang Province

Awards: G3410291672, 共形代数的范畴化研究