{"id":"W180221021","doi":"","title":"Strong Macdonald Theory and the Brylinski Filtration for Affine Lie Algebras","year":2011,"lang":"en","type":"article","venue":"eScholarship (California Digital Library)","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Mathematics; Cohomology; Lie algebra; Nilpotent; Subalgebra; Pure mathematics; Loop algebra; Jacobi identity; Affine Lie algebra; Algebra over a field; Combinatorics; Current algebra","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":[0.0005849628,0.0003089656,0.000334811,0.0001062442,0.0002357812,0.0004497548,0.0003789661,0.0001396192,0.0005766611],"category_scores_gemma":[0.001523482,0.0002084766,0.0001935711,0.0002532931,0.0002708864,0.002415731,0.0001808651,0.000329597,0.0001691358],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001228073,"about_ca_system_score_gemma":0.00004287094,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":2.841332e-7,"about_ca_topic_score_gemma":9.427922e-7,"domain_scores_codex":[0.9983888,0.0001234621,0.0004616835,0.0003824971,0.0002334544,0.0004101372],"domain_scores_gemma":[0.9972161,0.001961037,0.0001946384,0.0004169748,0.00004192942,0.0001693068],"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":[0.0009018505,0.0001315437,0.003027485,0.00008174092,0.00007575382,0.000003154847,0.0001091714,2.993492e-7,0.000024248,0.9837394,0.001306517,0.01059877],"study_design_scores_gemma":[0.001630071,0.00008602506,0.0008368066,0.00004524131,0.00004969231,0.00001035994,0.0001243889,0.00003092896,0.002747017,0.9816185,0.01253442,0.000286604],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8680335,0.001016658,0.06355037,0.001141598,0.0002734401,0.002110805,0.002979946,0.0007804203,0.06011321],"genre_scores_gemma":[0.987182,0.00002320902,0.008340769,0.0006667055,0.000247489,0.0001085795,0.0002465365,0.0001038137,0.003080931],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1191484,"threshold_uncertainty_score":0.8501428,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03070782671017584,"score_gpt":0.2492709800593871,"score_spread":0.2185631533492112,"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."}}