{"id":"W2798115745","doi":"10.1016/j.aim.2022.108368","title":"Differential operators on G/U and the Gelfand-Graev action","year":2022,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Engineering Research Centers; National Science Foundation","keywords":"Mathematics; Algebraic group; Unipotent; Cotangent bundle; Differential operator; Pure mathematics; Reductive group; Affine variety; Langlands dual group; Algebra over a field; Automorphism; Weyl algebra; Algebraic number; Affine transformation; Group theory; Mathematical analysis; Trigonometric functions","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003494831,0.0001722924,0.0003062768,0.000111654,0.000329939,0.00002843881,0.0002274032,0.00003091371,0.0002783178],"category_scores_gemma":[0.0003276919,0.0001148693,0.00005914574,0.0002988137,0.0001386874,0.0001301215,0.0001772884,0.000365388,0.000006988274],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006011294,"about_ca_system_score_gemma":0.00001019357,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":8.043813e-7,"about_ca_topic_score_gemma":0.00001312912,"domain_scores_codex":[0.9987628,0.0001138935,0.0003358645,0.0002133261,0.0003526064,0.000221489],"domain_scores_gemma":[0.9983006,0.001160573,0.0001589807,0.0003285707,0.00001665969,0.0000346232],"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":[0.0001193119,0.0003007914,0.0002192041,0.0001682195,0.00001926837,0.000006908079,0.00182173,0.0004432791,0.00007417342,0.9852071,0.00007874438,0.01154122],"study_design_scores_gemma":[0.001592176,0.00007422528,0.00007515132,0.00003347333,0.0000244689,0.00002476326,0.002839356,0.001979742,0.0003371622,0.9890096,0.003833777,0.0001760791],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9855208,0.00074127,0.008032051,0.0003444268,0.0004900196,0.0005743426,0.00001271214,0.0000659401,0.004218452],"genre_scores_gemma":[0.9940146,0.0004814623,0.004549517,0.0001383876,0.00007196682,0.0001866303,0.000002653386,0.0000318648,0.0005228959],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01136514,"threshold_uncertainty_score":0.4684234,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02382184242548735,"score_gpt":0.3264882340278151,"score_spread":0.3026663916023278,"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."}}