{"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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":["metaepi_narrow"],"category_scores_codex":[0.002562036,0.001640529,0.007665606,0.0007713319,0.0001196649,0.0001413868,0.0009566139,0.0006789035,0.00008988667],"category_scores_gemma":[0.00207805,0.001189818,0.0009941722,0.003034793,0.0002365564,0.0001960812,0.0004117603,0.002179915,0.00064321],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003702437,"about_ca_system_score_gemma":0.000115568,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001564797,"about_ca_topic_score_gemma":7.7272e-7,"domain_scores_codex":[0.9923987,0.0008501275,0.003438518,0.001501295,0.0009085335,0.0009028523],"domain_scores_gemma":[0.9927901,0.002814473,0.00172638,0.002355749,0.00006705474,0.0002462636],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"design_other","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000003891767,0.007878028,0.000002043109,0.079868,0.000268766,0.00004900956,0.0006205636,5.937052e-7,1.082535e-7,0.2646601,0.0005192928,0.6461295],"study_design_scores_gemma":[0.001564893,0.0003902243,7.584533e-7,0.03047951,0.001927562,0.00007154293,0.0001199611,0.0001191587,4.313974e-7,0.8041855,0.1597114,0.0014291],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"review","genre_gemma":"review","genre_scores_codex":[0.0001082751,0.964892,0.01020602,0.00001242933,0.0001537938,0.009504508,0.00003140707,0.0001535937,0.01493795],"genre_scores_gemma":[0.00004076751,0.9620553,0.03528901,0.00003087359,0.0002984224,0.0007999779,0.00005944415,0.000410712,0.001015472],"genre_candidate":"review","genre_consensus":"review","teacher_disagreement_score":0.6447005,"threshold_uncertainty_score":0.9996342,"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."}}