{"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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000153546,0.0001978967,0.0003653756,0.00006260035,0.0001558805,0.00007226557,0.0001591294,0.00007192643,0.0004524967],"category_scores_gemma":[0.0003196489,0.0001849084,0.00007827354,0.0002572948,0.0001114805,0.0001617499,0.0001811465,0.0001512155,0.0001162027],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000209679,"about_ca_system_score_gemma":0.00002985711,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":2.93674e-7,"about_ca_topic_score_gemma":0.000001525617,"domain_scores_codex":[0.998744,0.0000535999,0.0003322594,0.000318274,0.0002431795,0.0003086496],"domain_scores_gemma":[0.9985182,0.0006479758,0.00007572776,0.0005182335,0.00009999407,0.0001399079],"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":[0.000007393215,0.0002693509,0.0001374338,0.0006987075,0.00005330272,0.0001089753,0.0008343942,8.227453e-7,0.02164168,0.9732054,0.00107236,0.00197013],"study_design_scores_gemma":[0.0003989263,0.00003361781,0.0004311293,0.0002441357,0.00006405613,0.0004882437,0.000332749,0.0002518099,0.01482278,0.9819767,0.0006731915,0.0002826501],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9364712,0.001207824,0.04558885,0.0007616006,0.000117734,0.000208642,0.00002197925,0.0002174512,0.01540475],"genre_scores_gemma":[0.8907785,0.00009405427,0.1073856,0.000319603,0.0001028396,0.00002628325,0.00001285722,0.00004409497,0.001236124],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.06179674,"threshold_uncertainty_score":0.7540346,"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."}}