{"id":"W2151113281","doi":"10.1088/0305-4470/34/42/323","title":"Invariants of the nilpotent and solvable triangular Lie algebras","year":2001,"lang":"en","type":"article","venue":"Journal of Physics A Mathematical and General","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":19,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Montréal","funders":"","keywords":"Mathematics; Lie algebra; Pure mathematics; Nilpotent; Triangular matrix; Class (philosophy); Lie conformal algebra; Adjoint representation of a Lie algebra; Adjoint representation; Representation theory; Representation of a Lie group; Algebra over a field; Computer science","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001543814,0.00008680949,0.000251273,0.00001347395,0.00006189451,0.00003052106,0.00009065621,0.00002070265,0.0000621173],"category_scores_gemma":[0.000008164116,0.00004951369,0.0001246754,0.00006753857,0.00007432135,0.00007664194,0.00006263407,0.0001222149,0.000001421209],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000003349821,"about_ca_system_score_gemma":0.00003341542,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000006706228,"about_ca_topic_score_gemma":2.061416e-7,"domain_scores_codex":[0.9993448,0.00002950734,0.0002904972,0.000064309,0.0001498931,0.0001209563],"domain_scores_gemma":[0.9995251,0.00004134524,0.0001930093,0.0001022,0.00005735948,0.0000810061],"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":[0.00003845243,0.000558755,0.006254191,0.00005905306,0.000231537,0.000006065312,0.0005986631,0.00005263571,0.008517972,0.9670759,0.0005116611,0.01609508],"study_design_scores_gemma":[0.0009773287,0.0001180833,0.002510449,0.0000901598,0.0001099633,0.00003870857,0.0001787102,0.0037491,0.005578342,0.9856715,0.0008650081,0.0001127109],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9923562,0.00008770932,0.00583899,0.0003950194,0.00005936521,0.00006101971,0.000007611708,0.000001109934,0.001192926],"genre_scores_gemma":[0.9951277,0.00001670876,0.003535479,0.00005211509,0.0006684621,5.180052e-7,5.773855e-7,0.000008017596,0.0005904235],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01859551,"threshold_uncertainty_score":0.201911,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01325831177107491,"score_gpt":0.2407011870858013,"score_spread":0.2274428753147264,"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."}}