{"id":"W1967275581","doi":"10.4153/cjm-2010-022-1","title":"Verma Modules over Quantum Torus Lie Algebras","year":2009,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"ca_institutions":"Wilfrid Laurier University","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China; National Science Foundation","keywords":"Torus; Verma module; Mathematics; Pure mathematics; Quantum; Lie algebra; Center (category theory); Maximal torus; Irreducible representation; Fundamental representation; Algebra over a field; Quantum mechanics; Weight; Physics; Geometry","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000555363,0.0003921417,0.0004892442,0.001206874,0.0009468708,0.001820428,0.0003248769,0.0003424032,0.003360399],"category_scores_gemma":[0.0009958901,0.0002195456,0.0004547087,0.0006587935,0.002155692,0.002122992,0.001244652,0.0006243548,0.0003460497],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006084131,"about_ca_system_score_gemma":0.0005612848,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005841497,"about_ca_topic_score_gemma":0.0005513237,"domain_scores_codex":[0.9995614,0.0001094715,0.00003214685,0.00006517531,0.0001092624,0.0001225522],"domain_scores_gemma":[0.9993625,0.0000952423,0.000150831,0.00006047108,0.0001151486,0.0002157604],"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":[0.00005001618,0.00003725368,0.0006888637,0.00003358721,0.00001266492,0.0004444761,0.0003684529,0.002372867,0.005075014,0.9863063,0.0004046667,0.004205856],"study_design_scores_gemma":[0.00003160651,0.00008455566,0.001479953,0.00002762691,0.00001762526,0.0006323944,0.000318399,0.01149489,0.004419412,0.9772889,0.004178365,0.00002637647],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9394246,0.0003243956,0.03086055,0.0002265513,0.00005381948,0.00004475172,0.0001010542,0.0001502448,0.028814],"genre_scores_gemma":[0.9920313,0.0001206719,0.003360772,0.00002009718,0.00004346604,0.00001981706,0.00005942298,0.00001124392,0.004333125],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003360399,"threshold_uncertainty_score":0.01124161,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02781423785120735,"score_gpt":0.268627407335462,"score_spread":0.2408131694842546,"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."}}