{"id":"W2064099411","doi":"10.1142/s0129055x06002711","title":"A FURTHER STUDY ON NON-ABELIAN PHASE SPACES: LEFT-SYMMETRIC ALGEBRAIC APPROACH AND RELATED GEOMETRY","year":2006,"lang":"en","type":"review","venue":"Reviews in Mathematical Physics","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":47,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"McMaster University","keywords":"Mathematics; Abelian group; Pure mathematics; Algebraic number; Algebraic structure; Symmetric space; Space (punctuation); Phase (matter); Algebra over a field; Mathematical analysis; Physics; Quantum mechanics; Computer science","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"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":[0.0005043946,0.000482129,0.0006870794,0.001182952,0.0004779188,0.0009442542,0.0005596616,0.0009708062,0.001716476],"category_scores_gemma":[0.0004407703,0.0001798172,0.0003609188,0.001613431,0.001460097,0.003346795,0.0006556613,0.001409862,0.0006667363],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005696337,"about_ca_system_score_gemma":0.000542386,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002636125,"about_ca_topic_score_gemma":0.0003246336,"domain_scores_codex":[0.9998333,0.00005307309,0.000008454089,0.00003399264,0.00005781427,0.00001326054],"domain_scores_gemma":[0.9997447,0.0001190982,0.00002856214,0.00001938581,0.00007255941,0.00001563837],"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":[0.00002631821,0.00008798467,0.0001997046,0.003456866,0.00003441267,0.0005343514,0.0004163222,0.001320035,0.007758347,0.7950013,0.009552773,0.1816116],"study_design_scores_gemma":[0.00001607416,0.00011829,0.0008535253,0.0007085244,0.00002980178,0.00230966,0.0003306236,0.001684541,0.003682501,0.3767533,0.613479,0.00003416049],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"review","genre_gemma":"review","genre_scores_codex":[0.006334766,0.9523643,0.0102698,0.003507537,0.0007184065,0.00001066243,0.00001696046,0.0000162848,0.02676131],"genre_scores_gemma":[0.08614859,0.8931332,0.006840634,0.001269163,0.002021838,0.00003482993,0.00005076887,0.00001465108,0.01048639],"genre_candidate":"review","genre_consensus":"review","teacher_disagreement_score":0.001716476,"threshold_uncertainty_score":0.005742133,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1159416658738244,"score_gpt":0.4135937101955272,"score_spread":0.2976520443217028,"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."}}