{"id":"W2202687086","doi":"10.1016/j.aim.2015.11.038","title":"On conjugacy of Cartan subalgebras in extended affine Lie algebras","year":2015,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Ottawa; University of Alberta","funders":"Consejo Nacional de Investigaciones Científicas y Técnicas; Natural Sciences and Engineering Research Council of Canada; Canada Research Chairs","keywords":"Cartan matrix; Cartan subalgebra; Mathematics; Cartan decomposition; Kac–Moody algebra; Killing form; Pure mathematics; Affine Lie algebra; Real form; Lie algebra; Lie conformal algebra; Conjugacy class; Generalized Kac–Moody algebra; Algebra over a field; Adjoint representation of a Lie algebra; Current algebra","routes":{"ca_aff":true,"ca_fund":true,"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":[0.00172516,0.001234748,0.001254431,0.003059146,0.003344636,0.004583254,0.001506641,0.002065907,0.007289222],"category_scores_gemma":[0.004424474,0.0007791106,0.001337564,0.002107975,0.005059807,0.007415856,0.004063446,0.004312308,0.001014719],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002223444,"about_ca_system_score_gemma":0.001025809,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001872138,"about_ca_topic_score_gemma":0.001651579,"domain_scores_codex":[0.9987946,0.0003710076,0.00006763687,0.0002157953,0.0003309466,0.00022004],"domain_scores_gemma":[0.9980133,0.000609917,0.0003843149,0.0002186027,0.0002723226,0.0005015538],"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":[0.00002437053,0.00003125811,0.0002295338,0.00001320403,0.000006718764,0.00008302555,0.0002732186,0.0004308358,0.0003120418,0.9965995,0.0003869577,0.001609383],"study_design_scores_gemma":[0.000009687602,0.00001080867,0.0001196672,0.000006041056,0.000003237818,0.00004554589,0.00006229056,0.001974515,0.0001066047,0.9970478,0.0006075526,0.000006292479],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7597587,0.001761437,0.09625363,0.00355449,0.0007891929,0.0001276958,0.0002558745,0.0002278084,0.1372711],"genre_scores_gemma":[0.9632625,0.001036937,0.009276077,0.0006388047,0.0009766784,0.00008846897,0.0003265853,0.0001099849,0.02428404],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007289222,"threshold_uncertainty_score":0.02438492,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03490158618392568,"score_gpt":0.3399852923627695,"score_spread":0.3050837061788438,"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."}}