{"paper":{"title":"On automorphisms of enveloping algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.QA","authors_text":"Akaki Tikaradze","submitted_at":"2017-05-22T23:02:59Z","abstract_excerpt":"Given an algebraic Lie algebra $\\mathfrak{g}$ over $\\mathbb{C}$, we canonically associate to it a Lie algebra $\\mathfrak{g}_{\\infty}$ defined over $\\mathbb{C}_{\\infty}$-the reduction of $\\mathbb{C}$ mod infinitely large prime, and show that for a class of Lie algebras $\\mathfrak{g}_{\\infty}$ is an invariant of the derived category of $\\mathfrak{g}$-modules. We give two applications of this construction. First, we show that the bounded derived category of $\\mathfrak{g}$-modules determines algebra $\\mathfrak{g}$ for a class of Lie algebras. Second, given a semi-simple Lie algebra $\\mathfrak{g}$ "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.08035","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"}