{"id":"W2964331347","doi":"10.1007/s00026-018-0404-2","title":"Combinatorial Aspects of the Quantized Universal Enveloping Algebra of $$\\mathfrak {sl}_{n+1}$$ sl n + 1","year":2018,"lang":"en","type":"article","venue":"Annals of Combinatorics","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Hopf algebra; Universal enveloping algebra; Formalism (music); Algebra over a field; Algebraic structure; Lie algebra; Pure mathematics; Algebraic number; Constructive; Triangular matrix; R-matrix; Combinatorics; Physics; Computer science","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":[0.0006390041,0.0006546006,0.0008407808,0.002243029,0.002431917,0.00371402,0.001374829,0.0009966025,0.01020454],"category_scores_gemma":[0.001418662,0.0004368059,0.0007191471,0.001287662,0.003957551,0.003662029,0.001634157,0.001546051,0.0008319519],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00183687,"about_ca_system_score_gemma":0.000891156,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00304065,"about_ca_topic_score_gemma":0.003711805,"domain_scores_codex":[0.9993562,0.0001604095,0.00003425958,0.00009987567,0.0001838404,0.0001653406],"domain_scores_gemma":[0.9994431,0.0001437955,0.00010606,0.00007062936,0.00008245848,0.0001539937],"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":[0.00001869419,0.00001986364,0.0001246968,0.00001261625,0.000003011725,0.00007446526,0.00009996477,0.001008573,0.0006603266,0.9960167,0.0004049099,0.001556146],"study_design_scores_gemma":[0.000008703837,0.00001076267,0.0002391504,0.000006905173,0.000003085,0.00008070876,0.00007906713,0.005050917,0.0002089218,0.9934357,0.0008627134,0.00001321123],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7626821,0.0009969999,0.04371759,0.002408567,0.0004077162,0.00005789101,0.0003142961,0.0002341143,0.1891807],"genre_scores_gemma":[0.9793233,0.0002731804,0.004758353,0.0002598471,0.000259039,0.00002653665,0.0001469415,0.00005775654,0.01489511],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01020454,"threshold_uncertainty_score":0.03413761,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08288234115192465,"score_gpt":0.3519058450818622,"score_spread":0.2690235039299376,"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."}}