{"paper":{"title":"Cosets of affine vertex algebras inside larger structures","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.QA"],"primary_cat":"math.RT","authors_text":"Andrew R. Linshaw, Thomas Creutzig","submitted_at":"2014-07-31T18:24:28Z","abstract_excerpt":"Given a finite-dimensional reductive Lie algebra $\\mathfrak{g}$ equipped with a nondegenerate, invariant, symmetric bilinear form $B$, let $V^k(\\mathfrak{g},B)$ denote the universal affine vertex algebra associated to $\\mathfrak{g}$ and $B$ at level $k$. Let $\\mathcal{A}^k$ be a vertex (super)algebra admitting a homomorphism $V^k(\\mathfrak{g},B)\\rightarrow \\mathcal{A}^k$. Under some technical conditions on $\\mathcal{A}^k$, we characterize the coset $\\text{Com}(V^k(\\mathfrak{g},B),\\mathcal{A}^k)$ for generic values of $k$. We establish the strong finite generation of this coset in full generali"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.8512","kind":"arxiv","version":6},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1407.8512/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"}