{"paper":{"title":"Simple transitive 2-representations for two non-fiat 2-categories of projective functors","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Volodymyr Mazorchuk, Xiaoting Zhang","submitted_at":"2016-01-01T16:38:30Z","abstract_excerpt":"We show that any simple transitive $2$-representation of the $2$-ca\\-te\\-go\\-ry of projective endofunctors for the quiver algebra of $\\Bbbk(\\xymatrix{\\bullet\\ar[r]&\\bullet})$ and for the quiver algebra of $\\Bbbk(\\xymatrix{\\bullet\\ar[r]\\ar@/^/@{.}[rr]&\\bullet\\ar[r]&\\bullet})$ is equivalent to a cell $2$-representation."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.00097","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"}