{"id":"W2087927284","doi":"10.1016/j.jpaa.2004.12.011","title":"Inverse systems and regular representations","year":2005,"lang":"en","type":"article","venue":"Journal of Pure and Applied Algebra","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"ca_institutions":"Queen's University","funders":"","keywords":"Mathematics; Inverse; Representation (politics); Vector space; Polynomial; Ring (chemistry); Algebra over a field; Pure mathematics; Group (periodic table); Discrete mathematics; Combinatorics; Mathematical analysis; Geometry","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":[0.0002699391,0.000106202,0.0002478635,0.00008605765,0.00008213525,0.00005191674,0.00009149377,0.00006945796,0.00002390883],"category_scores_gemma":[0.00008739295,0.00008660567,0.00003767932,0.00008007741,0.00006727334,0.0001719956,0.00004680032,0.0002166951,0.000003869754],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002240427,"about_ca_system_score_gemma":0.00002012257,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":3.99949e-7,"about_ca_topic_score_gemma":0.000003558548,"domain_scores_codex":[0.999138,0.0000217685,0.0003924345,0.0001149407,0.0002062224,0.0001266287],"domain_scores_gemma":[0.9991823,0.0001614314,0.0003193265,0.00016039,0.00006395199,0.0001126082],"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":[0.00001983482,0.00005046545,0.0001487182,0.00007442554,0.00007102008,0.00001476897,0.000774224,0.00004332816,0.002213328,0.9825326,0.009956251,0.004101045],"study_design_scores_gemma":[0.001204395,0.00006120679,0.0003184318,0.00008470253,0.0001211163,0.0005231131,0.002054073,0.0001335415,0.002582325,0.9702936,0.02242288,0.0002006635],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9849198,0.001034244,0.007384303,0.001368596,0.0001941923,0.0002096828,0.000002862883,0.00002553881,0.004860731],"genre_scores_gemma":[0.9462943,0.0002236032,0.05142729,0.0002058428,0.001049991,0.000005901194,7.372865e-7,0.00002355298,0.0007687804],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.04404299,"threshold_uncertainty_score":0.3531677,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02846597630769396,"score_gpt":0.3000434880232839,"score_spread":0.27157751171559,"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."}}