{"id":"W2088782033","doi":"10.1016/j.jalgebra.2011.05.029","title":"Irreducible modules over the derivation algebras of rational quantum tori","year":2011,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":false,"ca_institutions":"Wilfrid Laurier University","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Mathematics; Torus; Pure mathematics; Bounded function; Lie algebra; Simple (philosophy); Quantum; Class (philosophy); Algebra over a field; Discrete mathematics; Geometry; Mathematical analysis; Quantum mechanics","routes":{"ca_aff":true,"ca_fund":true,"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":[0.0004985647,0.0001420014,0.0003012444,0.00009745653,0.00008822903,0.000024614,0.0003788922,0.00009169718,0.0004652126],"category_scores_gemma":[0.0003342166,0.00008906079,0.0002055982,0.0001692969,0.00008259215,0.0003021523,0.00005168465,0.0002160265,0.000002607165],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003965643,"about_ca_system_score_gemma":0.0001188986,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001991998,"about_ca_topic_score_gemma":0.000002779395,"domain_scores_codex":[0.9983998,0.00007750458,0.0007173667,0.0001063134,0.0005402621,0.0001587559],"domain_scores_gemma":[0.9981948,0.0002427203,0.0008700031,0.0002797555,0.0003478579,0.00006488443],"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":[0.00008692962,0.0001063097,0.0005265796,0.00002204908,0.0001251089,0.000002831903,0.00161678,0.000007978254,0.0007893431,0.9930463,0.003295602,0.0003742124],"study_design_scores_gemma":[0.000490359,0.0001907648,0.01719324,0.00004447671,0.00007429231,0.00004462236,0.000284643,0.0001153702,0.006997834,0.9742684,0.0001972177,0.00009880245],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.993978,0.000215784,0.003517099,0.000205423,0.001378041,0.0001103597,0.000002042349,0.000009940265,0.0005832917],"genre_scores_gemma":[0.9959187,0.00002608297,0.00339019,0.00007865634,0.0005162029,0.000001611611,7.471165e-7,0.00002000812,0.0000477983],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.0187779,"threshold_uncertainty_score":0.5093752,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05833031565141385,"score_gpt":0.2857032680499602,"score_spread":0.2273729523985463,"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."}}