{"id":"W2028495306","doi":"10.1090/s0002-9939-2011-10827-x","title":"Jordan-Chevalley decomposition in finite dimensional Lie algebras","year":2011,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Regina","funders":"Natural Sciences and Engineering Research Council of Canada; Consejo Nacional de Investigaciones Científicas y Técnicas","keywords":"Mathematics; Decomposition; Lie algebra; Killing form; Pure mathematics; Algebra over a field; Adjoint representation of a Lie algebra; Lie conformal algebra; Chemistry","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":[0.0009575516,0.0006467199,0.000622245,0.001546732,0.00131284,0.002421096,0.0006936305,0.0005952464,0.01125012],"category_scores_gemma":[0.00138664,0.0002962671,0.0008212329,0.0008957313,0.002312318,0.002915014,0.001630795,0.00189082,0.003370318],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001896007,"about_ca_system_score_gemma":0.001127122,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00314615,"about_ca_topic_score_gemma":0.002482351,"domain_scores_codex":[0.9993697,0.0001393334,0.00002984082,0.0001075397,0.0002283915,0.0001253578],"domain_scores_gemma":[0.9994086,0.0001002984,0.00007015928,0.00005545014,0.0002172599,0.0001481303],"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":[0.00001470377,0.0000129788,0.00009840557,0.00002415496,0.000003962826,0.00004803228,0.0002419266,0.0005883229,0.0004499927,0.9934486,0.001329502,0.003739401],"study_design_scores_gemma":[0.00001095172,0.00001592645,0.0001653254,0.00001231033,0.000003521806,0.00005644517,0.0001427395,0.006592398,0.000610378,0.9868343,0.005544583,0.00001111736],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.3849841,0.001438573,0.2507731,0.003255566,0.0005477629,0.0001222108,0.0008862016,0.0008985962,0.3570939],"genre_scores_gemma":[0.8445006,0.0009502207,0.04832536,0.0006540114,0.0004786442,0.0001208861,0.0009329614,0.000412615,0.1036246],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01125012,"threshold_uncertainty_score":0.03763539,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03968573917539298,"score_gpt":0.3099111115187187,"score_spread":0.2702253723433257,"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."}}