{"id":"W7133007472","doi":"","title":"Three Pictures of Lusztig’s Asymptotic Hecke Algebra","year":2022,"lang":"","type":"dissertation","venue":"TSpace","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"","keywords":"Hecke algebra; Conjecture; Polynomial ring; Ring (chemistry); Polynomial; Subalgebra; Type (biology); Gröbner basis; Affine transformation","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":[0.0003037311,0.0003349756,0.0002206289,0.001047157,0.00115666,0.00204948,0.0005134532,0.0005468141,0.01198945],"category_scores_gemma":[0.0004911888,0.0002149412,0.0004127159,0.000507475,0.002373463,0.004023942,0.000910164,0.001393336,0.00135959],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00107726,"about_ca_system_score_gemma":0.0003816394,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00132848,"about_ca_topic_score_gemma":0.001349394,"domain_scores_codex":[0.999806,0.00003945259,0.000005978947,0.00003124926,0.00007554253,0.00004185839],"domain_scores_gemma":[0.9998842,0.00002191971,0.00001165423,0.00001872616,0.00002935776,0.0000340735],"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":[0.00000752961,0.000006410073,0.00006045023,0.000007803568,6.116939e-7,0.00003596063,0.0003556819,0.0001348164,0.0004840998,0.9960366,0.0008394053,0.002030615],"study_design_scores_gemma":[0.00001010107,0.00002883912,0.0007398832,0.00001683267,0.0000038775,0.0001847161,0.0006876039,0.003076833,0.00116514,0.9560171,0.03805009,0.00001898658],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.1727267,0.002809151,0.1064009,0.004740942,0.0006090565,0.00007346536,0.0003918756,0.0007385943,0.7115092],"genre_scores_gemma":[0.8722787,0.001308184,0.02960836,0.0006002929,0.0005253013,0.00008029824,0.0002507312,0.0001825695,0.09516542],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.01198945,"threshold_uncertainty_score":0.04010868,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02553611426699157,"score_gpt":0.3567402226027607,"score_spread":0.3312041083357691,"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."}}