{"paper":{"title":"Singular conformally invariant trilinear forms, II The higher multiplicity cases","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Jean-Louis Clerc","submitted_at":"2015-07-06T14:11:48Z","abstract_excerpt":"Let $S$ be the sphere of dimension $n-1, n\\geq 4$. Let $(\\pi_{\\lambda})_{\\lambda\\in \\mathbb C}$ be the scalar principle series of representations of the conformal group $SO_0(1,n)$, realized on $\\mathcal C^\\infty(S)$. For $\\boldsymbol \\lambda = (\\lambda_1,\\lambda_2,\\lambda_3) \\in \\mathbb C^3$, let $Tri(\\boldsymbol \\lambda)$ be the space of continuous trilinear forms on $\\mathcal C^\\infty(S) \\times \\mathcal C^\\infty(S) \\times \\mathcal C^\\infty(S)$ which are invariant under $\\pi_{\\lambda_1} \\otimes \\pi_{\\lambda_2} \\otimes \\pi_{\\lambda_3} $. For each value of $\\boldsymbol \\lambda$, the dimension "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.01470","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"}