Relative Lie central extension and Schur multiplier of pairs of multiplicative Lie algebras
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912726613229568 |
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| author | Singh, Dev Karan Kumar, Shiv Datt |
| author_facet | Singh, Dev Karan Kumar, Shiv Datt |
| contents | In this paper, we introduce the concept of relative Lie central extension for pair of multiplicative Lie algebras. Then, we discuss the concept of isoclinism for relative Lie central extensions and prove some related results. We also define the Frattini subalgebra for multiplicative Lie algebras and discuss its properties, finally the Schur multiplier for pair of multiplicative Lie algebras is introduced and under certain conditions prove the existence of multiplicative covering pair. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_19012 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Relative Lie central extension and Schur multiplier of pairs of multiplicative Lie algebras Singh, Dev Karan Kumar, Shiv Datt Group Theory 17A01 19C09, 20J06 In this paper, we introduce the concept of relative Lie central extension for pair of multiplicative Lie algebras. Then, we discuss the concept of isoclinism for relative Lie central extensions and prove some related results. We also define the Frattini subalgebra for multiplicative Lie algebras and discuss its properties, finally the Schur multiplier for pair of multiplicative Lie algebras is introduced and under certain conditions prove the existence of multiplicative covering pair. |
| title | Relative Lie central extension and Schur multiplier of pairs of multiplicative Lie algebras |
| topic | Group Theory 17A01 19C09, 20J06 |
| url | https://arxiv.org/abs/2511.19012 |