{"id":"W3195916102","doi":"10.4153/s0008439522000364","title":"Auslander’s theorem for dihedral actions on preprojective algebras of type A","year":2022,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Isomorphism (crystallography); Automorphism; Type (biology); Vertex (graph theory); Context (archaeology); Pure mathematics; Combinatorics; Algebra over a field; Crystallography; Crystal structure","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001096296,0.0003222988,0.0005437119,0.001239986,0.001485366,0.001583846,0.0006818622,0.0005556758,0.004704747],"category_scores_gemma":[0.001532047,0.0002940816,0.0007318321,0.000555446,0.002966905,0.00367424,0.002078467,0.001456491,0.0006309782],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009173086,"about_ca_system_score_gemma":0.0004043368,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001309946,"about_ca_topic_score_gemma":0.0008539435,"domain_scores_codex":[0.9991386,0.0001800069,0.00006820605,0.0002093109,0.0002474953,0.0001563213],"domain_scores_gemma":[0.9988864,0.0003611015,0.0001514025,0.0001928094,0.0002016857,0.0002066443],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00001461264,0.00001495174,0.0002146835,0.00001212801,0.00000383655,0.00007826356,0.0002203497,0.0002190255,0.0006344999,0.9963834,0.0003203513,0.001883773],"study_design_scores_gemma":[0.00001484061,0.0000243838,0.0003838727,0.000007178422,0.00000666981,0.0001558931,0.0001101657,0.002365341,0.00106616,0.9918642,0.003990737,0.00001068499],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6616609,0.001059674,0.1273653,0.00175731,0.0003427789,0.00009131275,0.0003529539,0.0003292346,0.2070405],"genre_scores_gemma":[0.9722189,0.0003019928,0.01283148,0.0002609025,0.0001681013,0.00005102013,0.0001910641,0.00003528929,0.01394124],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004704747,"threshold_uncertainty_score":0.01573896,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05605457623192144,"score_gpt":0.3049273034627259,"score_spread":0.2488727272308044,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}