{"id":"W7140790625","doi":"10.5802/jolt.843","title":"On Chevalley's Formula for Structure Constants","year":2015,"lang":"en","type":"article","venue":"Journal of Lie theory","topic":"Mathematics and Applications","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"","keywords":"Structure constants; Algebraic structure; Algebraic number; Structured program theorem; Point (geometry); Lie algebra","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":[0.003171179,0.001022362,0.001173973,0.003265911,0.002753639,0.004447425,0.001409416,0.00209584,0.008680063],"category_scores_gemma":[0.01005818,0.0006699427,0.0008779973,0.00249287,0.007663351,0.01187529,0.003032558,0.006487098,0.001536657],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00380809,"about_ca_system_score_gemma":0.00145471,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003670556,"about_ca_topic_score_gemma":0.00208908,"domain_scores_codex":[0.9987493,0.0002488777,0.00006777798,0.0002617173,0.000453195,0.0002192435],"domain_scores_gemma":[0.9980693,0.001136919,0.0001246095,0.0002000803,0.0003390519,0.000130045],"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":[0.000006877633,0.000003467806,0.00005478333,0.00001584045,0.000001563452,0.00002962749,0.0001022936,0.0001227201,0.0001037389,0.9966437,0.000677511,0.002237923],"study_design_scores_gemma":[0.000009353895,0.000005892708,0.00007280865,0.00002178433,0.000002717244,0.00004162319,0.00002661555,0.0007004431,0.0001739156,0.9941473,0.004789727,0.00000776704],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.1493596,0.01845177,0.2594104,0.02027662,0.003423497,0.0002022968,0.0009821615,0.000461795,0.5474319],"genre_scores_gemma":[0.8661073,0.006897637,0.05377513,0.003549609,0.002035001,0.0002937227,0.0004711443,0.0003383259,0.06653201],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.008680063,"threshold_uncertainty_score":0.02903777,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1190252848543425,"score_gpt":0.3859964417166202,"score_spread":0.2669711568622777,"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."}}