{"id":"W2006239377","doi":"10.1063/1.2778543","title":"Fine Group Gradings of the Real Forms of sl(4,C), sp(4,C), and o(4,C)","year":2007,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Montréal","funders":"","keywords":"Mathematics; Pure mathematics; Lie group; Group (periodic table); Real form; Lie algebra; Representation of a Lie group; Simple Lie group; Algebra over a field; Physics; Affine Lie algebra; Current algebra; Quantum mechanics","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":[0.000362494,0.0005215051,0.0002419111,0.001403231,0.0006649921,0.0009190741,0.0003746602,0.0003865093,0.006327009],"category_scores_gemma":[0.0008685043,0.000180344,0.0004402538,0.000339764,0.001495858,0.001411896,0.001109734,0.000661957,0.0005804404],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003231363,"about_ca_system_score_gemma":0.0002326999,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004196987,"about_ca_topic_score_gemma":0.0005781893,"domain_scores_codex":[0.9997682,0.00004138072,0.00001657542,0.00003047533,0.0000818815,0.00006154536],"domain_scores_gemma":[0.9996222,0.00005416647,0.00008566365,0.00008358959,0.00007045578,0.00008385907],"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":[0.0001075087,0.00005657673,0.002357943,0.0000615907,0.00001223838,0.0005785904,0.0009573798,0.006652676,0.01842641,0.9466549,0.001416881,0.02271732],"study_design_scores_gemma":[0.00002388295,0.0001327026,0.002959053,0.00002971425,0.00001170679,0.0006437051,0.0004131341,0.01523454,0.008043387,0.9613492,0.01109221,0.00006665754],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.86676,0.0001951765,0.05426699,0.00026824,0.0001364494,0.00005186554,0.0001718348,0.0002529706,0.07789657],"genre_scores_gemma":[0.978229,0.0001160121,0.01058396,0.00006728931,0.00005370403,0.00002840224,0.0001446721,0.00004587822,0.01073107],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006327009,"threshold_uncertainty_score":0.02116591,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03334042329885929,"score_gpt":0.3183706302735321,"score_spread":0.2850302069746729,"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."}}