{"id":"W3047107146","doi":"10.1093/imrn/rnab130","title":"Gelfand’s Trick for the Spherical Derived Hecke Algebra","year":2021,"lang":"en","type":"article","venue":"International Mathematics Research Notices","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Deutsche Forschungsgemeinschaft; McGill University","keywords":"Hecke algebra; Mathematics; Pure mathematics; Commutative ring; Ring (chemistry); Algebra over a field; Commutative property; Order (exchange); Group (periodic table); Physics; Chemistry; Quantum mechanics","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":[0.001235406,0.000491908,0.000453792,0.001223238,0.001053324,0.00152696,0.0007500745,0.0005614205,0.008467762],"category_scores_gemma":[0.001410845,0.0002170625,0.0009221648,0.0006622217,0.002318981,0.003601566,0.001753886,0.001878352,0.001857566],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007631956,"about_ca_system_score_gemma":0.0005104019,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009868381,"about_ca_topic_score_gemma":0.0007057731,"domain_scores_codex":[0.9995201,0.0001205896,0.00002806918,0.00009113082,0.0001662217,0.00007389225],"domain_scores_gemma":[0.9996443,0.0000876987,0.0000303725,0.00007690897,0.0001054935,0.00005521549],"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":[0.00001149078,0.00000796599,0.00007365963,0.00001897074,0.000005141552,0.0001122167,0.0001837643,0.000212571,0.001334813,0.9937696,0.001310427,0.002959448],"study_design_scores_gemma":[0.00001974931,0.00003085818,0.0003174485,0.00001496982,0.000008746038,0.0003314978,0.0001352517,0.002491307,0.003372154,0.9799253,0.01333377,0.00001894877],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2531491,0.002413268,0.4031795,0.007416443,0.001782769,0.0001119357,0.0005868929,0.0007756453,0.3305845],"genre_scores_gemma":[0.9223199,0.00090764,0.04008579,0.0009754839,0.0005720446,0.00005394485,0.0002190665,0.0001688774,0.03469727],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.008467762,"threshold_uncertainty_score":0.02832747,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.2251258346246266,"score_gpt":0.4768612145715173,"score_spread":0.2517353799468907,"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."}}