{"id":"W2594867704","doi":"10.5539/jmr.v9n2p1","title":"A Family of Left Lie Bol Loops","year":2017,"lang":"en","type":"article","venue":"Journal of Mathematics Research","topic":"Mathematics and Applications","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Western Michigan University","keywords":"Mathematics; Semidirect product; Simple Lie group; Pure mathematics; Lie group; Adjoint representation; Lie algebra; Representation of a Lie group; Graded Lie algebra; Algebra over a field; Group (periodic table); Physics","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002041983,0.0003890023,0.0003211612,0.001162475,0.001211664,0.001138944,0.0004063381,0.0006188272,0.006300613],"category_scores_gemma":[0.00084451,0.0002208008,0.0004072145,0.0003924925,0.001237409,0.001682413,0.001004731,0.0009978119,0.0008623024],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000533672,"about_ca_system_score_gemma":0.0002563515,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002633661,"about_ca_topic_score_gemma":0.0002588138,"domain_scores_codex":[0.9997589,0.00003569716,0.000007090706,0.00005276423,0.00008862989,0.00005696915],"domain_scores_gemma":[0.9996778,0.00006152658,0.00005457736,0.00003699248,0.00007298775,0.00009615923],"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":[0.0001213776,0.00006338624,0.002887626,0.0001211963,0.00003171802,0.002199939,0.001315982,0.003911082,0.0187885,0.9432877,0.001594356,0.02567698],"study_design_scores_gemma":[0.00006908787,0.0002890532,0.003235611,0.00009557403,0.00004193798,0.003768395,0.0007707691,0.03664201,0.01983561,0.8984262,0.03674073,0.00008491804],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8118415,0.0009088702,0.1221481,0.000507821,0.0001546773,0.00006657975,0.0001875504,0.0008924879,0.06329238],"genre_scores_gemma":[0.9718719,0.0002015154,0.01108914,0.0001162725,0.00006563795,0.00003649123,0.0001430117,0.0001060596,0.01637002],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006300613,"threshold_uncertainty_score":0.02107757,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.4490895820636447,"score_gpt":0.5393718305741275,"score_spread":0.09028224851048283,"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."}}