{"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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0006828407,0.0004876723,0.0007517296,0.0002206232,0.0004503193,0.0001472878,0.002558246,0.0003306335,0.0002013395],"category_scores_gemma":[0.0008102465,0.0004713282,0.0001628513,0.0007356056,0.0006257837,0.0003745937,0.0007947412,0.0006001627,0.000121501],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001770147,"about_ca_system_score_gemma":0.0002864569,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00007825156,"about_ca_topic_score_gemma":0.00007642515,"domain_scores_codex":[0.9969107,0.0003361172,0.001296579,0.0004701019,0.0004828566,0.0005036769],"domain_scores_gemma":[0.9937418,0.00129855,0.0005021667,0.003956507,0.0003152066,0.0001858366],"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":[0.00002542921,0.0007665497,0.0002719209,0.00008217734,0.0001311867,0.000003246745,0.002674205,6.842847e-7,0.0006094654,0.940316,0.05467883,0.0004403698],"study_design_scores_gemma":[0.001542786,0.0001577162,0.00005746397,0.0002141399,0.00004990628,0.00001256252,0.0009149511,0.005809078,0.001585869,0.9834385,0.005662153,0.0005548906],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9480127,0.004098363,0.004538629,0.001940863,0.001284571,0.001933299,0.00007313979,0.0006817215,0.03743678],"genre_scores_gemma":[0.9757177,0.0001347938,0.0226091,0.0002355339,0.00008959406,0.000154856,0.0001143542,0.0001154103,0.0008286883],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.04901667,"threshold_uncertainty_score":0.9997739,"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."}}