{"id":"W3103617934","doi":"","title":"Invariants of Triangular Lie Algebras with One Nilindependent Diagonal Element","year":2012,"lang":"en","type":"article","venue":"","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":7,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Montréal","funders":"","keywords":"Diagonal; Mathematics; Triangular matrix; Element (criminal law); Invariant (physics); Lie algebra; Conjecture; Pure mathematics; Algebraic number; Algebra over a field; Mathematical analysis; Geometry; Mathematical physics","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":[0.0003843976,0.0003672435,0.0003427464,0.001800731,0.000835353,0.001442683,0.0005684546,0.0003884142,0.003943638],"category_scores_gemma":[0.001046986,0.0001789689,0.0004193682,0.0009274605,0.001833555,0.001967863,0.0008173527,0.0008129934,0.0005567606],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007029005,"about_ca_system_score_gemma":0.000413938,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008399256,"about_ca_topic_score_gemma":0.0006700803,"domain_scores_codex":[0.9995758,0.00007798999,0.0000242701,0.00006003992,0.0001457993,0.0001159731],"domain_scores_gemma":[0.999461,0.000102528,0.0001483174,0.00005758269,0.0001382147,0.00009232207],"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":[0.00002700778,0.00002380657,0.0003124926,0.00002681412,0.000006013596,0.00007994886,0.0002142481,0.001528654,0.002695871,0.9880243,0.0005897922,0.006471019],"study_design_scores_gemma":[0.000009919249,0.00004436098,0.0005169211,0.00001520407,0.000008267548,0.0001436083,0.0001804976,0.01501802,0.002939394,0.9789035,0.00219879,0.00002156958],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8258388,0.0006827674,0.08905745,0.0003767667,0.0001808658,0.00005415801,0.0003097458,0.0002357831,0.08326354],"genre_scores_gemma":[0.9891812,0.0001826286,0.00568002,0.00003970265,0.00009903987,0.00002072041,0.0001851646,0.00002299843,0.004588461],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003943638,"threshold_uncertainty_score":0.01319283,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01713202923791086,"score_gpt":0.2462980587054923,"score_spread":0.2291660294675814,"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."}}