{"paper":{"title":"Conformally covariant differential operators for the diagonal action of O(p, q) on real quadrics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Jean-Louis Clerc","submitted_at":"2017-07-17T11:06:52Z","abstract_excerpt":"Let $X=G/P$ be a real projective quadric, where $G=O(p,q)$ and $P$ is a parabolic subgroup of $G$. Let $\\left(\\pi_{\\lambda,\\epsilon}, \\mathcal{H}_{\\lambda,\\epsilon}\\right)_{ (\\lambda,\\epsilon)\\in \\mathbb {C}\\times \\{\\pm\\}}$ be the family of (smooth) representations of $G$ induced from the characters of $P$. For $(\\lambda, \\epsilon), (\\mu, \\eta)\\in \\mathbb{C} \\times \\{\\pm\\}$,  a differential operator $\\mathbf{D}_{(\\lambda,\\epsilon), (\\mu,\\eta)}^{reg}$ on $X\\times X$, acting $G$-covariantly from  $\\mathcal{H}_{\\lambda,\\epsilon} \\otimes \\mathcal{H}_{\\mu, \\eta}$ into $\\mathcal{H}_{\\lambda+1,-\\epsi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.05092","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}