{"id":"W2102737985","doi":"10.1007/s00031-013-9235-8","title":"A commutant realization of Odake’s algebra","year":2013,"lang":"en","type":"article","venue":"Transformation Groups","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Algebra over a field; Centralizer and normalizer; Algebra representation; Filtered algebra; Cellular algebra; Universal enveloping algebra; Current algebra; Subalgebra; Symmetric algebra; Realization (probability)","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":[0.0005798145,0.0005258499,0.000690976,0.0009513982,0.001918935,0.002287481,0.000829358,0.001062218,0.009797481],"category_scores_gemma":[0.0005635037,0.0003111342,0.0006734912,0.0008664412,0.00263839,0.003068086,0.001396449,0.001885749,0.00107913],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001013463,"about_ca_system_score_gemma":0.0007539532,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001389314,"about_ca_topic_score_gemma":0.001281412,"domain_scores_codex":[0.9995028,0.00009060193,0.00002697086,0.0001025305,0.0001374931,0.000139624],"domain_scores_gemma":[0.9997544,0.00004660875,0.00003348817,0.00004848208,0.00004905601,0.00006793923],"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":[0.00000996104,0.00001101468,0.00003776055,0.000006256085,0.000001538262,0.00004358171,0.0001208195,0.00009597595,0.0005592958,0.9975412,0.0003005916,0.001272102],"study_design_scores_gemma":[0.00001974157,0.00001647206,0.0001365294,0.000004405159,0.000004230808,0.0001160683,0.0001164583,0.001281864,0.0005932857,0.9930386,0.004661425,0.00001110232],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4404019,0.0006722537,0.1365643,0.002365504,0.0006828668,0.0001272391,0.0004081111,0.0003467108,0.4184311],"genre_scores_gemma":[0.9455479,0.0002959909,0.01946861,0.0004039619,0.0002473404,0.0000644743,0.0002376862,0.00006911708,0.03366497],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.009797481,"threshold_uncertainty_score":0.03277582,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02505187513430147,"score_gpt":0.2658593666911498,"score_spread":0.2408074915568483,"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."}}