Strongly invariant differential operators on parabolic geometries modelled on $Gr(3,3)$
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866913628862545920 |
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| author | Slovák, Jan Souček, Vladimír |
| author_facet | Slovák, Jan Souček, Vladimír |
| contents | We consider the curved geometries modelled on the homogeneous space $G/P$, where $G=SL(6,\mathbb R)$ acts transitively on the Grassmannian $Gr(3,3)$ of three-dimensional subspaces in $\mathbb R^6$, and $P$ is the corresponding isotropic subgroup. We classify the strongly invariant operators between sections of vector bundles induced on such geometries by irreducible $P$-modules, i.e., those obtained via homomorphisms of semi-holonomic Verma modules. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_20369 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Strongly invariant differential operators on parabolic geometries modelled on $Gr(3,3)$ Slovák, Jan Souček, Vladimír Differential Geometry 17B10, 17B25, 22E47, 58J60 We consider the curved geometries modelled on the homogeneous space $G/P$, where $G=SL(6,\mathbb R)$ acts transitively on the Grassmannian $Gr(3,3)$ of three-dimensional subspaces in $\mathbb R^6$, and $P$ is the corresponding isotropic subgroup. We classify the strongly invariant operators between sections of vector bundles induced on such geometries by irreducible $P$-modules, i.e., those obtained via homomorphisms of semi-holonomic Verma modules. |
| title | Strongly invariant differential operators on parabolic geometries modelled on $Gr(3,3)$ |
| topic | Differential Geometry 17B10, 17B25, 22E47, 58J60 |
| url | https://arxiv.org/abs/2412.20369 |