On the centre of crossed modules of Lie algebras
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915109862899712 |
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| author | Pirashvili, Mariam |
| author_facet | Pirashvili, Mariam |
| contents | This paper studies the relationship between crossed modules of Lie algebras and their centres. We show that any crossed module \(\partial : L_1\to L_0\) of Lie algebras fits in an exact sequence involving cohomology of the homotopy Lie algebras \(π_0(L_*)\) and \(π_1(L_*)\). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_10779 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the centre of crossed modules of Lie algebras Pirashvili, Mariam Category Theory K-Theory and Homology This paper studies the relationship between crossed modules of Lie algebras and their centres. We show that any crossed module \(\partial : L_1\to L_0\) of Lie algebras fits in an exact sequence involving cohomology of the homotopy Lie algebras \(π_0(L_*)\) and \(π_1(L_*)\). |
| title | On the centre of crossed modules of Lie algebras |
| topic | Category Theory K-Theory and Homology |
| url | https://arxiv.org/abs/2501.10779 |