{"id":"W2081851459","doi":"10.1016/j.jalgebra.2015.01.012","title":"Levi decomposable algebras in the classical Lie algebras","year":2015,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; City University of New York","keywords":"Mathematics; Lie algebra; Pure mathematics; Automorphism; Simple (philosophy); Class (philosophy); Generalized Kac–Moody algebra; Non-associative algebra; Killing form; Lie conformal algebra; Adjoint representation of a Lie algebra; Combinatorics; Algebra over a field; Affine Lie algebra; Current algebra; Computer science","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002819088,0.0003265573,0.0006934723,0.0002971364,0.00009330064,0.0001283943,0.001270332,0.0002067894,0.0001631057],"category_scores_gemma":[0.002750451,0.0002179697,0.0002850973,0.0005850152,0.00018801,0.0006192624,0.0001583809,0.001227361,0.0001056214],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002633641,"about_ca_system_score_gemma":0.000363457,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003533834,"about_ca_topic_score_gemma":0.00003490449,"domain_scores_codex":[0.9962411,0.0004127069,0.001322406,0.0002564906,0.001205403,0.0005619084],"domain_scores_gemma":[0.9963807,0.001463585,0.0008124291,0.0006693265,0.0003653318,0.0003086425],"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":[0.000125572,0.000596213,0.001785878,0.00004174512,0.00009309995,0.0004784472,0.001949337,0.00002211002,0.0001831549,0.9345537,0.0574495,0.002721174],"study_design_scores_gemma":[0.001680303,0.0003731467,0.001111208,0.0001153152,0.00006856172,0.0008853864,0.001133409,0.00005209374,0.0007976481,0.9677672,0.0257568,0.0002588651],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9704356,0.001088465,0.007574138,0.009974221,0.00118753,0.0003624061,0.000003163533,0.00005276905,0.009321746],"genre_scores_gemma":[0.9248203,0.00008021275,0.07119531,0.001623289,0.001487058,0.00001286198,0.000002082467,0.00008536701,0.0006935343],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.06362117,"threshold_uncertainty_score":0.8888548,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08745623297149209,"score_gpt":0.3532314681754185,"score_spread":0.2657752352039264,"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."}}