{"id":"W1658169119","doi":"10.1016/j.aim.2009.03.013","title":"Separating invariants and finite reflection groups","year":2009,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":36,"is_retracted":false,"has_abstract":false,"ca_institutions":"Queen's University","funders":"","keywords":"Subalgebra; Mathematics; Intersection (aeronautics); Polynomial ring; Algebra over a field; Pure mathematics; Ring (chemistry); Polynomial; Reflection (computer programming); Mathematical analysis; Computer science","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003784456,0.0001901451,0.0002992033,0.0001163481,0.00009481628,0.0000357822,0.0001543258,0.00009193697,0.00003215902],"category_scores_gemma":[0.001402825,0.0001853042,0.00003137743,0.0002889976,0.00005700334,0.0005904565,0.0000484903,0.0002484075,0.00001193398],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000559435,"about_ca_system_score_gemma":0.00001199648,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":3.795519e-7,"about_ca_topic_score_gemma":0.00001935777,"domain_scores_codex":[0.9987148,0.00003973969,0.0004926463,0.0002591832,0.0002138937,0.0002797334],"domain_scores_gemma":[0.9984835,0.0008657115,0.0002280512,0.0003330539,0.00003746161,0.00005218359],"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":[0.000008202451,0.0001467131,0.0001949956,0.0001802096,0.000005439546,0.00001523277,0.00174531,0.00009591001,0.0003261688,0.979357,0.00003454966,0.01789027],"study_design_scores_gemma":[0.0003425406,0.00007237845,0.000146852,0.0001944022,0.00001088739,0.00003008231,0.0003130536,0.002480278,0.0006313842,0.9949929,0.0005833633,0.0002018883],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.3882762,0.002819063,0.4826338,0.0005256916,0.000579719,0.001014322,0.000006892376,0.0005113573,0.123633],"genre_scores_gemma":[0.4760022,0.0005367992,0.5228182,0.0001491436,0.00009582975,0.00001801306,0.00000182353,0.00002643067,0.0003514883],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.1232815,"threshold_uncertainty_score":0.7556488,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04404777523306796,"score_gpt":0.37460640224759,"score_spread":0.330558627014522,"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."}}