{"id":"W2967413755","doi":"10.1063/1.5124251","title":"The dual pair (Uq(su(1,1)),oq1/2(2n)), <i>q</i>-oscillators, and Askey-Wilson algebras","year":2020,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Montréal","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Centralizer and normalizer; Dual (grammatical number); Rank (graph theory); Extension (predicate logic); Dual pair; Algebra over a field","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":[0.0003371517,0.0002737718,0.0002378765,0.0006398942,0.00124572,0.001284129,0.0004312073,0.0004919856,0.003253379],"category_scores_gemma":[0.0003771033,0.0001417589,0.0003549611,0.0004070637,0.001956314,0.001648186,0.001031975,0.0006761366,0.0003939406],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004875882,"about_ca_system_score_gemma":0.0003882974,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009031706,"about_ca_topic_score_gemma":0.001021883,"domain_scores_codex":[0.9997687,0.00004333891,0.00001249489,0.0000533223,0.00006105578,0.00006112197],"domain_scores_gemma":[0.9998596,0.000009341812,0.0000273686,0.00002005209,0.00002380743,0.00005975987],"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":[0.00003214128,0.00001305185,0.0003669517,0.00002023278,0.000002992719,0.0001510052,0.000317204,0.000392396,0.005102093,0.9891756,0.0003941699,0.004032033],"study_design_scores_gemma":[0.00001250148,0.00003507275,0.0009482051,0.0000204154,0.000006399753,0.0005503285,0.0004807412,0.005740628,0.004352844,0.9770942,0.01073192,0.00002667291],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8291554,0.0007319883,0.06210548,0.0005084898,0.0002477148,0.00004558099,0.0001246496,0.0001382852,0.1069425],"genre_scores_gemma":[0.9721362,0.000198508,0.0161026,0.0001526712,0.00009651486,0.00004103783,0.00008025168,0.00003540578,0.01115671],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003253379,"threshold_uncertainty_score":0.01088363,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03647945242958277,"score_gpt":0.2726710313709415,"score_spread":0.2361915789413587,"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."}}