{"paper":{"title":"Conformally covariant bi-differential operators for differential forms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.RT","authors_text":"Jean-Louis Clerc, Khalid Koufany, Salem Ben Sa\\\"id","submitted_at":"2018-09-17T15:53:58Z","abstract_excerpt":"The classical Rankin-Cohen brackets are bi-differential operators from $C^\\infty(\\mathbb R)\\times C^\\infty(\\mathbb R)$ into $ C^\\infty(\\mathbb R)$. They are covariant for the (diagonal) action of ${\\rm SL}(2,\\mathbb R)$ through principal series representations. We construct generalizations of these operators, replacing $\\mathbb R$ by $\\mathbb R^n,$ the group ${\\rm SL}(2,\\mathbb R)$ by the group ${\\rm SO}_0(1,n+1)$ viewed as the conformal group of $\\mathbb R^n,$ and functions by differential forms."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.06290","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"}