Automorphisms of Multiplicative Lie algebra Extensions
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866910389692792832 |
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| author | Singh, Dev Karan Kumar, Shiv Datt |
| author_facet | Singh, Dev Karan Kumar, Shiv Datt |
| contents | In this paper, we discuss the inducibility problem for automorphisms of multiplicative Lie algebra extensions and show that obstruction to the inducibility of pairs lies in the second cohomology group of multiplicative Lie algebras. We also establish the Wells type exact sequence for multiplicative Lie algebras, which relates automorphism groups with the second cohomology group of multiplicative Lie algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_19662 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Automorphisms of Multiplicative Lie algebra Extensions Singh, Dev Karan Kumar, Shiv Datt Rings and Algebras 17B40, 17B56, 18G50 In this paper, we discuss the inducibility problem for automorphisms of multiplicative Lie algebra extensions and show that obstruction to the inducibility of pairs lies in the second cohomology group of multiplicative Lie algebras. We also establish the Wells type exact sequence for multiplicative Lie algebras, which relates automorphism groups with the second cohomology group of multiplicative Lie algebras. |
| title | Automorphisms of Multiplicative Lie algebra Extensions |
| topic | Rings and Algebras 17B40, 17B56, 18G50 |
| url | https://arxiv.org/abs/2403.19662 |