{"id":"W1545467161","doi":"10.1090/crmp/035/04","title":"On invariant theory of finite groups","year":2004,"lang":"en","type":"book-chapter","venue":"CRM proceedings & lecture notes","topic":"Commutative Algebra and Its Applications","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"ca_institutions":"Queen's University","funders":"","keywords":"Subring; Automorphism; Invariant (physics); Pure mathematics; Mathematics; Invariant theory; Polynomial ring; Finite group; Covariant transformation; Algebra over a field; Symmetry group; Polynomial; Ring (chemistry); Group (periodic table); Physics; Geometry; Mathematical analysis; Mathematical physics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004698864,0.0004031866,0.0003094666,0.0009296294,0.000686348,0.001503045,0.000450477,0.0004349003,0.004692687],"category_scores_gemma":[0.000576064,0.0001534263,0.0003994386,0.001073466,0.002547524,0.002402199,0.0006504262,0.001316368,0.001405071],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001103277,"about_ca_system_score_gemma":0.0004822612,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007768039,"about_ca_topic_score_gemma":0.0006119387,"domain_scores_codex":[0.999742,0.00006644402,0.000008755379,0.00003432531,0.0001046255,0.00004391656],"domain_scores_gemma":[0.9998206,0.0000853532,0.00001518912,0.00002619145,0.00002967189,0.00002301845],"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":[0.000002752391,0.000006924798,0.00003905821,0.00002925629,0.000001743542,0.00002683293,0.000244409,0.000405571,0.0002763438,0.9886156,0.003575648,0.006775856],"study_design_scores_gemma":[0.000002018556,0.00001045007,0.0001029683,0.00002346226,0.000001736621,0.0000524566,0.00005810699,0.0005801527,0.0001565526,0.9634704,0.03553888,0.000002846208],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"methods","genre_scores_codex":[0.05044684,0.059158,0.0980948,0.00639148,0.001561346,0.00003235458,0.0002908033,0.0003615309,0.7836629],"genre_scores_gemma":[0.7563675,0.04587968,0.0283471,0.001895984,0.003657899,0.00008370635,0.0005893444,0.0002066458,0.1629722],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.004692687,"threshold_uncertainty_score":0.01569855,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04015973980898219,"score_gpt":0.2741977886120428,"score_spread":0.2340380488030606,"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."}}