{"id":"W2049564729","doi":"10.1081/agb-100105027","title":"ROOT-GRADED LIE ALGEBRAS WITH COMPATIBLE GRADING","year":2001,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":18,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Ottawa","funders":"","keywords":"Mathematics; Pure mathematics; Lie algebra; Graded Lie algebra; Killing form; Abelian group; Root (linguistics); Adjoint representation of a Lie algebra; Algebra over a field; Root system; Lie conformal algebra; Linguistics","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":[0.0003762471,0.0003528007,0.000399285,0.0009975714,0.0007445843,0.001489692,0.0005572216,0.0003083257,0.002371073],"category_scores_gemma":[0.0006934035,0.0001695654,0.0003103932,0.000643659,0.001504963,0.001847672,0.001163205,0.0008098836,0.0007579445],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000747874,"about_ca_system_score_gemma":0.0004922178,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008423204,"about_ca_topic_score_gemma":0.001137045,"domain_scores_codex":[0.999653,0.00005381851,0.00001727709,0.00005655466,0.0001394914,0.00007984374],"domain_scores_gemma":[0.9996483,0.00002738573,0.00005853801,0.00005254078,0.0001145482,0.00009867815],"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":[0.00003484405,0.00001892275,0.0006552257,0.00002976742,0.000009523927,0.0002610653,0.000367664,0.001331654,0.00485145,0.9837582,0.000661339,0.008020371],"study_design_scores_gemma":[0.00002249626,0.0000455255,0.0009199216,0.00001434065,0.000012254,0.0003598495,0.0002265347,0.005934622,0.003022096,0.9807577,0.00866629,0.00001840512],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8598378,0.0007503594,0.05120485,0.0004798388,0.0001487126,0.00008010159,0.0002149599,0.0003476546,0.08693569],"genre_scores_gemma":[0.9713297,0.0003269038,0.01082973,0.00009882275,0.00008460169,0.00002231204,0.0002018113,0.00003139534,0.01707469],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002371073,"threshold_uncertainty_score":0.007932007,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1073624627239513,"score_gpt":0.3662945287725469,"score_spread":0.2589320660485955,"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."}}