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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2404.02752 |
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| _version_ | 1866916191218434048 |
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| author | Sun, Qinxiu Zhu, Qianwen |
| author_facet | Sun, Qinxiu Zhu, Qianwen |
| contents | In this paper, we explore non-abelian extensions of relative Rota-Baxter Lie algebras and classify the non-abelian extensions by introducing the non-abelian second cohomology group. We also study the inducibility of a pair of automorphisms about a non-abelian extension of relative Rota-Baxter Lie algebras and derive the Wells type exact sequences. Finally, we investigate the inducibility problem of pairs of derivations about an abelian extension of relative Rota-Baxter Lie algebras and give an exact sequence of Wells type. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_02752 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Non-abelian extensions of relative Rota-Baxter Lie algebras and Wells type exact sequences Sun, Qinxiu Zhu, Qianwen Rings and Algebras In this paper, we explore non-abelian extensions of relative Rota-Baxter Lie algebras and classify the non-abelian extensions by introducing the non-abelian second cohomology group. We also study the inducibility of a pair of automorphisms about a non-abelian extension of relative Rota-Baxter Lie algebras and derive the Wells type exact sequences. Finally, we investigate the inducibility problem of pairs of derivations about an abelian extension of relative Rota-Baxter Lie algebras and give an exact sequence of Wells type. |
| title | Non-abelian extensions of relative Rota-Baxter Lie algebras and Wells type exact sequences |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2404.02752 |