{"paper":{"title":"A Morita theorem for modular finite W-algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Lewis Topley","submitted_at":"2015-05-14T21:28:27Z","abstract_excerpt":"We consider the Lie algebra $\\mathfrak{g}$ of a simple, simply connected algebraic group over a field of large positive characteristic. For each nilpotent orbit $\\mathcal{O} \\subseteq \\mathfrak{g}$ we choose a representative $e\\in \\mathcal{O}$ and attach a certain filtered, associative algebra $\\widehat{U}(\\mathfrak{g},e)$ known as a finite $W$-algebra, defined to be the opposite endomorphism ring of the generalised Gelfand-Graev module associated to $(\\mathfrak{g}, e)$. This is shown to be Morita equivalent to a certain central reduction of the enveloping algebra of $U(\\mathfrak{g})$. The res"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.03896","kind":"arxiv","version":3},"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"}