{"id":"W2062120102","doi":"10.1016/j.jalgebra.2012.04.003","title":"Integrable representations of toroidal Lie algebras co-ordinatized by rational quantum tori","year":2012,"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":"","keywords":"Mathematics; Torus; Subalgebra; Lie algebra; Center (category theory); Pure mathematics; Algebra over a field; Lie conformal algebra; Quantum; Physics; Quantum mechanics; 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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007299616,0.00103103,0.001330755,0.002123366,0.001912804,0.004045594,0.001355267,0.001440941,0.006966889],"category_scores_gemma":[0.001535865,0.0004999285,0.001128881,0.001216699,0.003205949,0.00341091,0.001837195,0.001823779,0.00076511],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001572865,"about_ca_system_score_gemma":0.0007666342,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001893119,"about_ca_topic_score_gemma":0.002137432,"domain_scores_codex":[0.9992843,0.0001256452,0.00004174289,0.00007705274,0.0002580927,0.0002131586],"domain_scores_gemma":[0.9992216,0.0001085534,0.0001876405,0.0001030254,0.0001252368,0.0002540572],"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":[0.00004979971,0.00004729853,0.0002163583,0.00001878498,0.00001544039,0.0001900261,0.0003390795,0.001684546,0.001732486,0.9932508,0.0004127077,0.002042766],"study_design_scores_gemma":[0.00004977253,0.00004893419,0.0004171216,0.00001374074,0.00001587065,0.0001776117,0.0003593579,0.01736813,0.0007157252,0.9795193,0.001286813,0.0000276581],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8721135,0.0004998032,0.05830783,0.001022223,0.00037715,0.00008584122,0.0001780269,0.0003588197,0.06705685],"genre_scores_gemma":[0.9811746,0.0002410368,0.005546798,0.0001661036,0.0002833636,0.00003711531,0.0001550717,0.00008210341,0.01231391],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006966889,"threshold_uncertainty_score":0.02330655,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02937328954890358,"score_gpt":0.3288281661050937,"score_spread":0.2994548765561901,"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."}}