{"paper":{"title":"Endomorphism algebras of 2-term silting complexes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RA"],"primary_cat":"math.RT","authors_text":"Aslak Bakke Buan, Yu Zhou","submitted_at":"2016-05-30T14:40:38Z","abstract_excerpt":"We study possible values of the global dimension of endomorphism algebras of 2-term silting complexes. We show that for any algebra $A$ whose global dimension $\\mathop{\\rm gl. dim}\\nolimits A\\leq 2$ and any 2-term silting complex $\\mathbf{P}$ in the bounded derived category ${D^b(A)}$ of $A$, the global dimension of $\\mathop{\\rm End}\\nolimits_{D^b(A)}(\\mathbf{P})$ is at most 7. We also show that for each $n>2$, there is an algebra $A$ with $\\mathop{\\rm gl. dim}\\nolimits A=n$ such that ${D^b(A)}$ admits a 2-term silting complex $\\mathbf{P}$ with $\\mathop{\\rm gl. dim}\\nolimits \\mathop{\\rm End}\\n"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.09255","kind":"arxiv","version":1},"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"}