{"id":"W2976872821","doi":"10.1112/s0010437x21007387","title":"Mirabolic Satake equivalence and supergroups","year":2021,"lang":"en","type":"article","venue":"Compositio Mathematica","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"","keywords":"Equivalence (formal languages); Affine transformation; Supergroup; Grassmannian; Algebra over a field; Equivalence of categories","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006407382,0.0004684584,0.0003857886,0.001658551,0.001849023,0.001738364,0.0006697219,0.0009465028,0.01233447],"category_scores_gemma":[0.001904726,0.0002172122,0.000703076,0.0008868758,0.003673258,0.005828972,0.004090955,0.002319571,0.000959943],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007797178,"about_ca_system_score_gemma":0.000298831,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004749781,"about_ca_topic_score_gemma":0.000455449,"domain_scores_codex":[0.9991184,0.0001736268,0.00005319364,0.0001833432,0.0002993077,0.0001720428],"domain_scores_gemma":[0.9991253,0.0002038783,0.0001592204,0.0002045912,0.0001465671,0.0001603791],"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":[0.000006275475,0.000008811805,0.0001033782,0.000006799087,0.000001645217,0.00004935177,0.0001259612,0.0001218233,0.0004407572,0.9977457,0.0001996628,0.00118987],"study_design_scores_gemma":[0.000007053777,0.00002306294,0.0003451419,0.00000806183,0.000003736392,0.0001692916,0.0001789178,0.001439382,0.0007429563,0.9925216,0.004553675,0.00000702418],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4849011,0.0006194988,0.1987615,0.003516776,0.0007086135,0.00009890055,0.0002589484,0.0003926434,0.310742],"genre_scores_gemma":[0.9686979,0.0002173351,0.01370261,0.0004458657,0.0002619066,0.00005024627,0.0002115312,0.00006894803,0.01634366],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01233447,"threshold_uncertainty_score":0.04126292,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0447727673231351,"score_gpt":0.3240946020716116,"score_spread":0.2793218347484764,"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."}}