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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2306.15360 |
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| _version_ | 1866910206072455168 |
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| author | Pérez-Valdés, Víctor |
| author_facet | Pérez-Valdés, Víctor |
| contents | We construct and give a complete classification of all the differential symmetry breaking operators D_{λ,ν}^m : C^\infty(S^3, V^3_λ) \rightarrow C^\infty(S^2,L_{m,ν}), between the spaces of smooth sections of a vector bundle of rank 3 over the 3-sphere V^3_λ \rightarrow S^3, and a line bundle over the 2-sphere L_{m,ν} \rightarrow S^2. In particular, we give necessary and sufficient conditions on the tuple of parameters (λ, ν, m) for which these operators exist. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_15360 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Conformally covariant differential symmetry breaking operators for a vector bundle of rank 3 over S^3 Pérez-Valdés, Víctor Differential Geometry Representation Theory We construct and give a complete classification of all the differential symmetry breaking operators D_{λ,ν}^m : C^\infty(S^3, V^3_λ) \rightarrow C^\infty(S^2,L_{m,ν}), between the spaces of smooth sections of a vector bundle of rank 3 over the 3-sphere V^3_λ \rightarrow S^3, and a line bundle over the 2-sphere L_{m,ν} \rightarrow S^2. In particular, we give necessary and sufficient conditions on the tuple of parameters (λ, ν, m) for which these operators exist. |
| title | Conformally covariant differential symmetry breaking operators for a vector bundle of rank 3 over S^3 |
| topic | Differential Geometry Representation Theory |
| url | https://arxiv.org/abs/2306.15360 |