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arXiv · 2412.20369

Strongly invariant differential operators on parabolic geometries modelled on $Gr(3,3)$

Jan Slovák·Vladimír Souček
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Abstract

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.

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Jan Slovák, Vladimír Souček. 2024-12-29. Strongly invariant differential operators on parabolic geometries modelled on $Gr(3,3)$. https://arxiv.org/abs/2412.20369

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