{"paper":{"title":"Representations of Cyclotomic Rational Cherednik Algebras with Aspherical Parameters","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Huijun Zhao","submitted_at":"2018-09-16T21:03:23Z","abstract_excerpt":"In this article, we describe all two sided ideals of a cyclotomic rational Cherednik algebra $H_\\mathbf{c}$ and its spherical subalgebra $eH_\\mathbf{c} e$ with a Weil generic aspherical parameter $\\mathbf{c}$, and further describe the simple modules in the category $\\mathcal{O}^{sph}_\\mathbf{c}$ . The main tools we use are categorical Kac-Moody actions on catogories $\\mathcal{O}_\\mathbf{c}$ and restriction functors for Harish-Chandra bimodules."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.06724","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"}