Non-abelian extensions and Wells exact sequences of Bol algebras
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909957400559616 |
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| author | Zhang, Jingzi Zhang, Tao |
| author_facet | Zhang, Jingzi Zhang, Tao |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_23612 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Non-abelian extensions and Wells exact sequences of Bol algebras Zhang, Jingzi Zhang, Tao Rings and Algebras 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. |
| title | Non-abelian extensions and Wells exact sequences of Bol algebras |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2510.23612 |