{"id":"W2002117445","doi":"10.1063/1.4790415","title":"The Poincaré algebra in rank 3 simple Lie algebras","year":2013,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto; Lakehead University","funders":"Natural Sciences and Engineering Research Council of Canada; City University of New York","keywords":"Combinatorics; Lie algebra; Rank (graph theory); Mathematics; Embedding; Indecomposable module; Simple (philosophy); Automorphism; Pure mathematics","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":[0.0003059481,0.0004534119,0.0002641321,0.001270662,0.001115939,0.001781347,0.000373735,0.0006247289,0.007921452],"category_scores_gemma":[0.0008003951,0.0002327778,0.0006079728,0.0007836784,0.001932637,0.00238135,0.001276828,0.0009213252,0.001802182],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008414432,"about_ca_system_score_gemma":0.000443564,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001636024,"about_ca_topic_score_gemma":0.0009571995,"domain_scores_codex":[0.9996076,0.00006089372,0.00002148691,0.00005506397,0.0001256862,0.000129259],"domain_scores_gemma":[0.999554,0.00006362797,0.00009153772,0.0000462718,0.0001132107,0.0001314335],"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":[0.00006514053,0.0000445861,0.0008494732,0.0000420087,0.000009958814,0.000320632,0.001139572,0.00175216,0.006491684,0.9746698,0.00169873,0.01291611],"study_design_scores_gemma":[0.00002533309,0.00008788464,0.00167869,0.00002278751,0.000009653046,0.0002627053,0.0006440794,0.01012047,0.004577751,0.9717941,0.01072649,0.00005002395],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.898535,0.000278384,0.04317737,0.000543227,0.000161906,0.00005488371,0.0002242988,0.0002752386,0.05674974],"genre_scores_gemma":[0.9789115,0.0002041456,0.005067958,0.0001328649,0.0001217542,0.00003867239,0.0003037665,0.00005967415,0.01515969],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007921452,"threshold_uncertainty_score":0.02649993,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02399225852115162,"score_gpt":0.2982598993651918,"score_spread":0.2742676408440402,"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."}}