{"paper":{"title":"On some modules of covariants for a reflection group","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Corrado De Concini, Paolo Papi","submitted_at":"2017-06-01T07:33:13Z","abstract_excerpt":"Let $\\mathfrak g$ be a simple Lie algebra with Cartan subalgebra $\\mathfrak h$ and Weyl group $W$. We build up a graded map $(\\mathcal H\\otimes \\bigwedge\\mathfrak h\\otimes \\mathfrak h)^W\\to (\\bigwedge \\mathfrak g\\otimes \\mathfrak g)^\\mathfrak g$ of\n  $(\\bigwedge \\mathfrak g)^\\mathfrak g\\cong S(\\mathfrak h)^W$-modules, where $\\mathcal H$ is the space of $W$-harmonics. In this way we prove an enhanced form of a conjecture of Reeder for the adjoint representation.\n  New version with different title. Various improvements. New section 7."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.00189","kind":"arxiv","version":2},"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"}