{"id":"W2004261989","doi":"10.1006/jabr.2001.8840","title":"The Depth of Invariant Rings and Cohomology","year":2001,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":22,"is_retracted":false,"has_abstract":false,"ca_institutions":"Queen's University","funders":"","keywords":"Mathematics; Pure mathematics; Invariant (physics); Cohomology; 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":[0.001611126,0.0004411961,0.0007577954,0.002183438,0.001222053,0.004517586,0.001165135,0.0009791557,0.007896611],"category_scores_gemma":[0.00778522,0.0007306357,0.000447754,0.001816464,0.007244816,0.02102029,0.002626119,0.002473902,0.0004223044],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001165353,"about_ca_system_score_gemma":0.0004483412,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007299643,"about_ca_topic_score_gemma":0.000708203,"domain_scores_codex":[0.9993048,0.0002070378,0.00003552171,0.0001351971,0.0001639401,0.0001535626],"domain_scores_gemma":[0.993404,0.004177509,0.0007587575,0.0005154158,0.0003279576,0.0008164113],"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":[0.00008539513,0.00002180567,0.001850034,0.00003705607,0.00001075274,0.0000426163,0.0006737171,0.0005375274,0.000589407,0.9884183,0.0005213967,0.007211979],"study_design_scores_gemma":[0.00001628946,0.00001808175,0.00126584,0.00001021938,0.00001451157,0.00009084177,0.0002814006,0.001124838,0.0002650542,0.9952577,0.001642986,0.00001218904],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8354298,0.006458305,0.06930882,0.006403089,0.0002196342,0.00003363853,0.0004795683,0.0001922413,0.08147492],"genre_scores_gemma":[0.9917508,0.0009391094,0.002728346,0.0001034928,0.0002588781,0.00001016875,0.00006555521,0.00002654349,0.004117087],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007896611,"threshold_uncertainty_score":0.02641678,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05478183459676571,"score_gpt":0.3330708725227793,"score_spread":0.2782890379260136,"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."}}