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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2410.17682 |
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| _version_ | 1866929555109838848 |
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| author | Canepa, Giovanni |
| author_facet | Canepa, Giovanni |
| contents | We consider injectivity and surjectivity of some maps on the exterior algebra of isomorphic finite-dimensional vector spaces. We prove the properties of the maps in full generality, for any dimension of the vector space and any subspace. We also draw a connection with the Palatini-Cartan formulation of General Relativity, for which these maps are of crucial importance. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_17682 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the properties of coframes Canepa, Giovanni Mathematical Physics Rings and Algebras 15A75, 83C99 We consider injectivity and surjectivity of some maps on the exterior algebra of isomorphic finite-dimensional vector spaces. We prove the properties of the maps in full generality, for any dimension of the vector space and any subspace. We also draw a connection with the Palatini-Cartan formulation of General Relativity, for which these maps are of crucial importance. |
| title | On the properties of coframes |
| topic | Mathematical Physics Rings and Algebras 15A75, 83C99 |
| url | https://arxiv.org/abs/2410.17682 |