{"id":"W2089549543","doi":"10.1155/imrn/2006/68395","title":"A category of modules for the full toroidal Lie algebra","year":2006,"lang":"en","type":"article","venue":"International Mathematics Research Notices","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":55,"is_retracted":false,"has_abstract":true,"ca_institutions":"Carleton University","funders":"","keywords":"Mathematics; Vertex operator algebra; Lie conformal algebra; Affine Lie algebra; Pure mathematics; Tensor product; Graded Lie algebra; Lie algebra; Current algebra; Algebra over a field; Virasoro algebra; Vertex (graph theory); Algebra representation; Discrete mathematics; Cellular algebra; Jordan 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":[],"consensus_categories":[],"category_scores_codex":[0.001381922,0.0001583661,0.0002510813,0.0001601508,0.0001988251,0.0001370152,0.00107126,0.00009644114,0.0001839965],"category_scores_gemma":[0.001421943,0.0001049394,0.0001663475,0.0001478231,0.0002536575,0.0001459289,0.0002189031,0.000226093,0.00001253023],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000807933,"about_ca_system_score_gemma":0.00007709539,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000202231,"about_ca_topic_score_gemma":0.0001083649,"domain_scores_codex":[0.997554,0.00006480276,0.0005478879,0.0002285799,0.001262096,0.0003426384],"domain_scores_gemma":[0.992785,0.005626376,0.0002488219,0.0004279523,0.0008656346,0.00004624861],"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":[0.00005639841,0.0002271194,0.00002199547,0.0001963944,0.0001194683,0.00000128078,0.0004849349,0.0001070552,0.0009054494,0.9933535,0.004109567,0.0004168626],"study_design_scores_gemma":[0.0004146882,0.00008791831,0.0001096377,0.00005808847,0.00002915231,0.000004402205,0.0006736445,0.01547468,0.002829725,0.978696,0.001511106,0.0001108994],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9485747,0.0005310234,0.03503523,0.002661014,0.00139199,0.001386966,0.00007261756,0.00008095124,0.0102655],"genre_scores_gemma":[0.9824574,0.00001584404,0.0154502,0.00001334648,0.0006618979,0.0001592899,0.000007975597,0.00003606774,0.001197958],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.03388272,"threshold_uncertainty_score":0.4279306,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1084696657562605,"score_gpt":0.4010223928230859,"score_spread":0.2925527270668253,"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."}}