{"id":"W6990087273","doi":"","title":"Contractions of Lie algebras and separation of variables: The n-dimensional sphere","year":2010,"lang":"en","type":"other","venue":"High-Energy Physics Literature Database (CERN, DESY, Fermilab, IHEP, and SLAC)","topic":"","field":"","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"Université de Montréal; Université du Québec à Montréal","funders":"","keywords":"Lie algebra; Lie group; Algebra over a field; Space (punctuation); Product (mathematics)","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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0003757371,0.00112216,0.001372361,0.000306448,0.0003682548,0.0002825313,0.0005516482,0.001003142,0.001034524],"category_scores_gemma":[0.0000742194,0.0008669883,0.0002315945,0.0008399204,0.0008903069,0.0006897795,0.0003881046,0.001262271,0.00004623595],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004963119,"about_ca_system_score_gemma":0.0002650507,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002110776,"about_ca_topic_score_gemma":0.001365383,"domain_scores_codex":[0.9960646,0.0003772153,0.0008726743,0.001217503,0.0008808876,0.0005870865],"domain_scores_gemma":[0.9955372,0.0003869689,0.001389771,0.001874195,0.000510116,0.0003017402],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","study_design_scores_codex":[0.0004257727,0.0007173456,0.00006347886,0.0006855757,0.001018335,0.0000481781,0.0004373305,0.00003704465,0.04037995,0.5829286,0.3721224,0.001135986],"study_design_scores_gemma":[0.004112198,0.00025704,0.0004402578,0.003485177,0.001834409,0.00024074,0.0001111278,0.0007873732,0.00958167,0.01955638,0.9575379,0.002055741],"study_design_candidate":"not_applicable","study_design_consensus":null,"genre_codex":"dataset","genre_gemma":"empirical","genre_scores_codex":[0.05462753,0.142951,0.01348004,0.0006970495,0.00957733,0.006163944,0.4154374,0.002253051,0.3548126],"genre_scores_gemma":[0.5821272,0.009742241,0.01132532,0.001250436,0.008295923,0.0002525775,0.1414739,0.005113104,0.2404193],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.5854155,"threshold_uncertainty_score":0.9998786,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.007947061671804853,"score_gpt":0.2317906226290249,"score_spread":0.22384356095722,"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."}}