{"id":"W2896547049","doi":"10.1142/s0219199718500694","title":"Strongly graded vertex algebras generated by vertex Lie algebras","year":2018,"lang":"en","type":"article","venue":"Communications in Contemporary Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Alberta","funders":"Natural Science Foundation of Shanghai","keywords":"Lie conformal algebra; Vertex operator algebra; Mathematics; Vertex (graph theory); Pure mathematics; Affine Lie algebra; Lie algebra; Vertex model; Algebra over a field; Combinatorics; Jordan algebra; Algebra representation; Current algebra","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":[0.0003341393,0.0004080384,0.0003343369,0.001561854,0.0007739143,0.001583781,0.0007637143,0.0003322522,0.002435532],"category_scores_gemma":[0.0008281872,0.0001898081,0.0005742131,0.0008763056,0.001594808,0.001886832,0.001255501,0.0006694209,0.0004583904],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007019954,"about_ca_system_score_gemma":0.000511406,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001120069,"about_ca_topic_score_gemma":0.0009587882,"domain_scores_codex":[0.99963,0.00005948524,0.00001947291,0.00005876951,0.0001366531,0.00009564147],"domain_scores_gemma":[0.9995883,0.00005040905,0.00007979191,0.00005068657,0.000105034,0.0001257368],"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":[0.00001890465,0.00001886816,0.0007980393,0.00002390914,0.000007626539,0.0001306988,0.0002941347,0.001206178,0.002705805,0.9880953,0.0003181675,0.006382391],"study_design_scores_gemma":[0.0000175742,0.00004520309,0.001105055,0.00002361412,0.00002540303,0.0002985966,0.0003121131,0.01317233,0.004428191,0.9736272,0.006914354,0.0000303889],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8038051,0.000544297,0.1431008,0.0003125003,0.00009036328,0.00009205208,0.0002253768,0.0002942878,0.05153511],"genre_scores_gemma":[0.9758617,0.0002846618,0.01541223,0.00006610432,0.0000578975,0.00004574713,0.0002337918,0.00002664409,0.008011086],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002435532,"threshold_uncertainty_score":0.008147657,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1328800753922393,"score_gpt":0.3517586342990439,"score_spread":0.2188785589068047,"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."}}