{"id":"W4315490869","doi":"10.1093/qmath/haac044","title":"Filtrations on the representation ring of an affine algebraic group","year":2023,"lang":"en","type":"article","venue":"The Quarterly Journal of Mathematics","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Ring (chemistry); Filtration (mathematics); Torus; Field (mathematics); Algebraic group; Group (periodic table); Algebraic number; Spin (aerodynamics); Affine transformation; Perfect field; Conjecture; Pure mathematics; Combinatorics; Topology (electrical circuits); Physics; Geometry; Mathematical analysis; Quantum mechanics","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":[0.001612846,0.0001394861,0.0003037261,0.0001805455,0.0001697231,0.00004238258,0.0004885831,0.00004595695,0.00009534554],"category_scores_gemma":[0.0006412438,0.00007290883,0.0001642833,0.0006017259,0.00008761529,0.0002349833,0.00001840664,0.0002775869,0.00003437864],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002318806,"about_ca_system_score_gemma":0.00002986932,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":6.757735e-7,"about_ca_topic_score_gemma":0.000006307526,"domain_scores_codex":[0.9982361,0.0001607381,0.0007930914,0.00008861182,0.0005384017,0.0001830424],"domain_scores_gemma":[0.9954143,0.00293884,0.0008821193,0.0005598252,0.0001531104,0.00005183243],"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":[0.0000594899,0.0009006244,0.00003535166,0.000251008,0.0002806579,0.00003001054,0.04189666,0.0005348121,0.009667644,0.9249396,0.00312076,0.01828335],"study_design_scores_gemma":[0.0003351473,0.0007597129,0.0002868219,0.000176321,0.00009073021,0.0000972866,0.01666618,0.002451566,0.002471051,0.9765431,0.00002929711,0.00009276507],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9827888,0.00002751298,0.01489982,0.001144883,0.0001509876,0.0002165523,0.0000058449,0.00003958446,0.0007260143],"genre_scores_gemma":[0.9911145,0.0000162466,0.008236666,0.0000535252,0.0002313343,0.000007886129,0.000002570437,0.00003192137,0.0003053296],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.0516035,"threshold_uncertainty_score":0.2973136,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06809085552721517,"score_gpt":0.3446444432264362,"score_spread":0.276553587699221,"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."}}