{"paper":{"title":"Kashiwara Algebras and Imaginary Verma Modules for $U_q(\\hat{\\mathfrak{g}})$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.QA","authors_text":"Ben Cox, Kailash C. Misra, Vyacheslav Futorny","submitted_at":"2013-08-08T20:43:54Z","abstract_excerpt":"We consider imaginary Verma modules for quantum affine algebra\n  $U_q(\\hat{\\mathfrak{g}})$, where $\\hat{\\mathfrak{g}}$ is of type 1 i.e. of non-twisted type, and construct Kashiwara type operators and the Kashiwara algebra $\\mathcal K_q$. We show that a certain quotient $\\mathcal N_q^-$ of\n  $U_q(\\hat{\\mathfrak{g}})$ is a simple $\\mathcal K_q$-module."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.1974","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"}