{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007105268,0.000362979,0.0003521132,0.00153691,0.001175105,0.002119382,0.0007780927,0.0003375342,0.003157767],"category_scores_gemma":[0.001475058,0.0001255374,0.0006621435,0.001007751,0.00280157,0.002437309,0.001595753,0.0008598415,0.0006447809],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001264645,"about_ca_system_score_gemma":0.001020718,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001477877,"about_ca_topic_score_gemma":0.0009259193,"domain_scores_codex":[0.9991953,0.00009109469,0.00005222778,0.00009941574,0.0003519378,0.0002101054],"domain_scores_gemma":[0.9991266,0.0001346471,0.000208805,0.0001015922,0.0001755975,0.0002527808],"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":[0.00002928339,0.00004232598,0.0005910105,0.00002156298,0.000005979469,0.0001458353,0.0003593109,0.001049105,0.003044775,0.9899486,0.0002631196,0.004498961],"study_design_scores_gemma":[0.00001981693,0.00008432067,0.001249021,0.00001177353,0.000009305305,0.0002006373,0.0002575534,0.0082623,0.005342667,0.9808255,0.003698888,0.00003822939],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8724056,0.0003975589,0.08397306,0.0005138594,0.0001515239,0.00008178673,0.0002478776,0.000243905,0.04198481],"genre_scores_gemma":[0.9902276,0.0001161641,0.005439381,0.00004677757,0.00006222966,0.00001949238,0.00009064974,0.00001546262,0.003982342],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003157767,"threshold_uncertainty_score":0.01056379,"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."}}