{"paper":{"title":"p-Adic Lifting Problems and Derived Equivalences","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RA"],"primary_cat":"math.RT","authors_text":"Florian Eisele","submitted_at":"2011-02-08T17:59:33Z","abstract_excerpt":"For two derived equivalent $k$-algebras $\\bar\\Lambda$ and $\\bar\\Gamma$, we introduce a correspondence between $\\OO$-orders reducing to $\\bar\\Lambda$ and $\\OO$-orders reducing to $\\bar\\Gamma$. We outline how this may be used to transfer properties like uniqueness (or non-existence) of a lift between $\\bar\\Lambda$ and $\\bar\\Gamma$. As an application, we look at tame algebras of dihedral type with two simple modules, where, most notably, we are able to show that among those algebras only the algebras $\\mathcal D^{\\kappa,0}(2A)$ and $\\mathcal D^{\\kappa,0}(2B)$ can actually occur as basic algebras "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.1674","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"}