{"id":"W2791088612","doi":"10.4153/cmb-2018-009-1","title":"The Universal Enveloping Algebra of the Schrödinger Algebra and its Prime Spectrum","year":2018,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Counterexample; Prime (order theory); Conjecture; Universal enveloping algebra; Spectrum (functional analysis); Algebra over a field; Pure mathematics; Filtered algebra; Discrete mathematics; Combinatorics","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":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0004023653,0.0002091586,0.0002786819,0.00005699371,0.0005682411,0.00007703741,0.0005621472,0.0001405636,0.001852585],"category_scores_gemma":[0.0008032709,0.0001256941,0.00009893846,0.0001887053,0.0004510829,0.00003102034,0.0001701689,0.000238045,0.0002640005],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001151454,"about_ca_system_score_gemma":0.000273289,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002348142,"about_ca_topic_score_gemma":0.0006160464,"domain_scores_codex":[0.9984972,0.0000946502,0.0003595374,0.0002453975,0.0002990332,0.0005041891],"domain_scores_gemma":[0.9983333,0.0006185934,0.0001503108,0.0005054341,0.0001000416,0.0002922905],"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":[0.000006523308,0.000007780178,0.00001795085,0.00004194207,0.00004191537,0.000002313702,0.0004227606,5.499123e-8,0.00004363864,0.9959654,0.003298145,0.0001515957],"study_design_scores_gemma":[0.0002470613,0.00004502951,0.0001528852,0.0001333842,0.00005148157,0.00002483649,0.0001987702,0.0001503873,0.002544382,0.9766909,0.01957834,0.0001825687],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.960584,0.0002947584,0.0004174244,0.02195573,0.0007135062,0.0007598953,0.00001066227,0.00005632286,0.01520774],"genre_scores_gemma":[0.9971992,0.00001121812,0.0004385036,0.000350657,0.0002408337,0.000008618573,3.459052e-7,0.00003546814,0.001715156],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.03661524,"threshold_uncertainty_score":0.9990599,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01615566455010447,"score_gpt":0.2331812022394975,"score_spread":0.2170255376893931,"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."}}