{"id":"W2088038775","doi":"10.1007/s00029-012-0110-6","title":"Spherical and Whittaker functions via DAHA I","year":2012,"lang":"en","type":"article","venue":"Selecta Mathematica","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Affine transformation; Mathematics; Exposition (narrative); Pure mathematics; Type (biology); Algebra over a field; Representation (politics); Polynomial; Representation theory; Mathematical analysis; Law; Literature","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":[0.001056927,0.001246831,0.0008117943,0.002797371,0.002303523,0.004708591,0.00118364,0.001562252,0.01283875],"category_scores_gemma":[0.001843595,0.0005117796,0.001165453,0.001441092,0.004326968,0.005254979,0.002653665,0.002811177,0.001886454],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00169451,"about_ca_system_score_gemma":0.000664396,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001268891,"about_ca_topic_score_gemma":0.001018372,"domain_scores_codex":[0.9993161,0.0002007584,0.00003673922,0.0001436497,0.0001775113,0.0001253217],"domain_scores_gemma":[0.9991674,0.0002228369,0.0001481807,0.0001152581,0.0001359745,0.0002102677],"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":[0.000005762191,0.000007278544,0.00004969379,0.000006032623,0.000001963599,0.00002008626,0.00008138747,0.0001202776,0.0001925904,0.9980747,0.000315267,0.00112501],"study_design_scores_gemma":[0.000006963473,0.000009350507,0.0001193953,0.000004697804,0.00000372363,0.00005820006,0.0000581193,0.001598386,0.0001986696,0.9957462,0.002188171,0.000008184845],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.3823811,0.002504861,0.1901201,0.006381844,0.001175042,0.00009763327,0.0004399126,0.0006339606,0.4162657],"genre_scores_gemma":[0.9190278,0.001154438,0.02146796,0.00100684,0.001110718,0.000107127,0.0002665317,0.0002288573,0.05562977],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01283875,"threshold_uncertainty_score":0.04294991,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02847570835714347,"score_gpt":0.2777607199233108,"score_spread":0.2492850115661673,"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."}}