{"id":"W2024154609","doi":"10.1016/j.jpaa.2008.05.002","title":"The Schur group of an abelian number field","year":2008,"lang":"en","type":"article","venue":"Journal of Pure and Applied Algebra","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Regina","funders":"","keywords":"Mathematics; Schur algebra; Abelian group; Algebraic number field; Group (periodic table); Field (mathematics); Schur multiplier; Pure mathematics; Schur's lemma; Group algebra; Algebra over a field; Algebraic number; Prime (order theory); Rational number; Combinatorics; Cyclic group; Gegenbauer polynomials; Mathematical analysis; Orthogonal polynomials","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":[0.0007463593,0.0007154789,0.0007709526,0.003040826,0.001959121,0.003029842,0.0007224772,0.0008108628,0.006114725],"category_scores_gemma":[0.001548474,0.0003424291,0.0005509652,0.001337649,0.004284591,0.002921236,0.001581751,0.001187836,0.000828704],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009766956,"about_ca_system_score_gemma":0.001016345,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009280161,"about_ca_topic_score_gemma":0.000702574,"domain_scores_codex":[0.9995011,0.0001368091,0.00002073853,0.00007771918,0.0001523817,0.0001111752],"domain_scores_gemma":[0.9992009,0.0002747929,0.0001477509,0.0000702421,0.0001150674,0.0001913834],"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":[0.0001053098,0.00002332433,0.0002074935,0.00001826521,0.000006838246,0.0001273861,0.0003745524,0.0006320294,0.001497066,0.9918285,0.0004892957,0.004690041],"study_design_scores_gemma":[0.00003609913,0.00005714782,0.000310274,0.000008301619,0.000009498575,0.0001434936,0.0001207879,0.002620412,0.0009408304,0.9924172,0.003314927,0.00002097452],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8668247,0.0009560033,0.03709,0.002187507,0.0005849383,0.00009246097,0.0002162758,0.0002576193,0.09179041],"genre_scores_gemma":[0.9817044,0.0003164284,0.003917083,0.0001931954,0.0004528963,0.00003729883,0.00009666889,0.00002710405,0.01325493],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006114725,"threshold_uncertainty_score":0.02045578,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01721111660169988,"score_gpt":0.2615188915375883,"score_spread":0.2443077749358885,"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."}}