{"id":"W2087315866","doi":"10.1155/2011/969424","title":"Orthogonal Polynomials of Compact Simple Lie Groups","year":2011,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"ca_institutions":"Occupational Cancer Research Centre","funders":"Université de Montréal; Natural Sciences and Engineering Research Council of Canada; Mitacs; Centre de Recherches Mathématiques","keywords":"Simple Lie group; Orthogonal polynomials; Discrete orthogonal polynomials; Classical orthogonal polynomials; Representation of a Lie group; Chebyshev polynomials; Wilson polynomials; Fundamental representation; Difference polynomials; Lie group","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":[0.0004117174,0.0003939526,0.000346886,0.001099,0.0007292021,0.0009350575,0.0004322999,0.0003460177,0.00186122],"category_scores_gemma":[0.001421057,0.0002359551,0.0003662931,0.0005272072,0.001673412,0.0009612504,0.0009067734,0.0006699271,0.0002709877],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006635228,"about_ca_system_score_gemma":0.0005747922,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001025426,"about_ca_topic_score_gemma":0.0009586982,"domain_scores_codex":[0.9996514,0.0001100913,0.00001097977,0.00003871925,0.000125647,0.00006317096],"domain_scores_gemma":[0.9996438,0.00008055913,0.00009235181,0.00003565189,0.00007838319,0.00006923312],"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":[0.00002388213,0.00001474671,0.0001810154,0.00002219607,0.000004517031,0.00009344841,0.0002088002,0.002921089,0.002855526,0.9861935,0.0002802082,0.007201094],"study_design_scores_gemma":[0.00002902619,0.00007260864,0.0005268126,0.00001930613,0.000008413488,0.0003072434,0.0001415557,0.05238276,0.002238196,0.9398606,0.004388079,0.00002539607],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8246569,0.0008174932,0.1371796,0.0003769666,0.0001234049,0.00004527144,0.00007025687,0.0001449927,0.03658511],"genre_scores_gemma":[0.9781683,0.0002772408,0.01324,0.0000401297,0.00008348861,0.00003035887,0.0000445519,0.00001956978,0.008096362],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00186122,"threshold_uncertainty_score":0.006226361,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.09214745859510369,"score_gpt":0.3400744539645486,"score_spread":0.2479269953694448,"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."}}