{"id":"W1990182438","doi":"10.1016/s0019-3577(02)80008-8","title":"Affine Kac-Moody Lie algebras as torsors over the punctured line","year":2002,"lang":"en","type":"article","venue":"Indagationes Mathematicae","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Affine transformation; Pure mathematics; Affine Lie algebra; Realization (probability); Lie algebra; Homogeneous; Algebra over a field; Combinatorics; 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","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0003759856,0.0004202145,0.0005003206,0.0001012943,0.000374632,0.0001723325,0.0006168946,0.000230028,0.007458225],"category_scores_gemma":[0.001186461,0.0002599888,0.0002323289,0.00042299,0.000149834,0.0002202171,0.0001544882,0.0003395752,0.0005720439],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007189486,"about_ca_system_score_gemma":0.00003112737,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001413599,"about_ca_topic_score_gemma":0.00001066311,"domain_scores_codex":[0.9975501,0.0001067947,0.0007294465,0.0003865155,0.0007895842,0.0004375935],"domain_scores_gemma":[0.9973526,0.001009004,0.0003713736,0.0009734588,0.000158161,0.0001353914],"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":[0.0000121962,0.00020548,0.00002814442,0.00009161077,0.0001192611,0.000005875835,0.003307907,0.00001264147,0.0001052623,0.984669,0.01025655,0.001186118],"study_design_scores_gemma":[0.0006898604,0.00009329179,0.0002007732,0.00007360215,0.0001225209,0.00004209381,0.0002482568,0.001656086,0.0009451712,0.9921594,0.003430663,0.0003382449],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9727522,0.0002825295,0.002588036,0.003617161,0.001083264,0.001054941,0.000009610417,0.0003785107,0.01823382],"genre_scores_gemma":[0.9912721,0.00002145224,0.00216828,0.0005301953,0.0007885948,0.0001057799,0.000007469313,0.00008473591,0.005021379],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01851999,"threshold_uncertainty_score":0.9999852,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04530511709584609,"score_gpt":0.2920163355779812,"score_spread":0.2467112184821351,"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."}}