{"id":"W4416677927","doi":"10.4153/s0008439525101471","title":"Polynomial invariants for three-dimensional Leibniz algebras","year":2025,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Fundação para a Ciência e a Tecnologia; Fundação de Amparo à Pesquisa do Estado de São Paulo","keywords":"Automorphism; Polynomial; Algebra over a field; Automorphism group; Algebra representation; Group (periodic table)","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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.000483623,0.0002993796,0.0004851844,0.0002498524,0.0002873803,0.00006899079,0.000464384,0.0002574124,0.007417589],"category_scores_gemma":[0.003715228,0.0002918627,0.0001731925,0.0002108626,0.0001749255,0.00003992423,0.00009683106,0.0002822715,0.002134041],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003300275,"about_ca_system_score_gemma":0.0005861081,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002447591,"about_ca_topic_score_gemma":0.004661614,"domain_scores_codex":[0.9979607,0.00004236017,0.0005763504,0.0004480346,0.0002281441,0.0007444364],"domain_scores_gemma":[0.9969651,0.001700261,0.00009784423,0.0006255498,0.0001399197,0.0004713999],"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":[0.00001598988,0.0000483469,0.00002252839,0.0001587094,0.00005038293,0.00001438941,0.00002516927,0.000001696881,0.00003117323,0.713142,0.2854185,0.00107118],"study_design_scores_gemma":[0.0006556897,0.00002831563,0.00006632312,0.0001648025,0.00005519049,0.00001293178,0.00001721378,0.0004372961,0.0002658564,0.8499275,0.1481042,0.0002646735],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2249711,0.0005372594,0.4186696,0.1034971,0.003207404,0.00765545,0.0005540393,0.0008802644,0.2400278],"genre_scores_gemma":[0.5069187,0.000002445401,0.4225098,0.01107015,0.0008765049,0.0008265557,0.00006465486,0.0002647347,0.05746657],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.2819475,"threshold_uncertainty_score":0.9999533,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03259100690293762,"score_gpt":0.2979521205079674,"score_spread":0.2653611136050298,"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."}}