{"id":"W2953435895","doi":"10.48550/arxiv.0709.0975","title":"Multiloop realization of extended affine Lie algebras and Lie tori","year":2007,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Alberta; University of Victoria","funders":"","keywords":"Affine Lie algebra; Pure mathematics; Mathematics; Lie algebra; Lie conformal algebra; Realization (probability); Killing form; Affine transformation; Adjoint representation of a Lie algebra; Non-associative algebra; Algebra over a field; 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":[0.0003717167,0.0002504584,0.0003131151,0.0005229414,0.001227205,0.001385725,0.0005687372,0.0004972293,0.002751823],"category_scores_gemma":[0.0007882731,0.0001866595,0.0005210973,0.0003492729,0.002058317,0.002415822,0.001279147,0.001010178,0.0002814125],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006586482,"about_ca_system_score_gemma":0.0003606301,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007416062,"about_ca_topic_score_gemma":0.0005916404,"domain_scores_codex":[0.9995973,0.00008608901,0.00002171603,0.00007653257,0.0001274537,0.00009091146],"domain_scores_gemma":[0.9996586,0.00004818548,0.00007465378,0.0000783322,0.00005803638,0.00008232264],"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":[0.00001955911,0.00001347358,0.0002331614,0.00001447789,0.000004565243,0.0001942619,0.0002331807,0.001289908,0.001799978,0.9941344,0.0001845973,0.001878398],"study_design_scores_gemma":[0.00001426614,0.0000361846,0.0004850669,0.00001079325,0.000007280094,0.0002512689,0.0003898263,0.01069483,0.001727024,0.9828796,0.0034865,0.00001725144],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8646642,0.0004153155,0.0849683,0.0004229184,0.00007851636,0.00003958788,0.0001220777,0.0001751385,0.04911393],"genre_scores_gemma":[0.9897919,0.00009872321,0.007110231,0.00003160238,0.00003562383,0.00002585047,0.00008756216,0.00001548021,0.002803054],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002751823,"threshold_uncertainty_score":0.009205759,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08129164523485591,"score_gpt":0.3380324765545532,"score_spread":0.2567408313196973,"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."}}