{"id":"W2123990443","doi":"10.1112/s0010437x13007136","title":"Buildings, spiders, and geometric Satake","year":2013,"lang":"en","type":"preprint","venue":"Compositio Mathematica","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Tensor product; Affine transformation; Invariant (physics); Mathematics; Pure mathematics; Grassmannian; Product (mathematics); Algebra over a field; Geometry","routes":{"ca_aff":true,"ca_fund":true,"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":[0.0002809418,0.000281493,0.0003462094,0.001011566,0.001336274,0.002517119,0.0004535667,0.0009717677,0.007449618],"category_scores_gemma":[0.0006914582,0.0002498854,0.0003953456,0.0007468666,0.00348462,0.002621178,0.002411303,0.0009756205,0.0006586714],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006409016,"about_ca_system_score_gemma":0.0002078559,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005084531,"about_ca_topic_score_gemma":0.0006601744,"domain_scores_codex":[0.9996743,0.0000769481,0.00001394062,0.00006321152,0.0001066465,0.00006492138],"domain_scores_gemma":[0.9996539,0.00006228517,0.00007451323,0.00007920139,0.00003848954,0.00009159063],"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":[0.000009875326,0.00001225754,0.0003368633,0.0000079599,0.00000257541,0.000074604,0.0001463891,0.0008751596,0.0004927183,0.9965599,0.000241931,0.001239726],"study_design_scores_gemma":[0.000009072824,0.00002345859,0.0006640885,0.000009842242,0.000003317522,0.0001989281,0.0002762842,0.005239296,0.0004827971,0.9899125,0.003171318,0.000009118303],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8826233,0.0005227143,0.02835101,0.001361544,0.00009926021,0.00002804145,0.0001037843,0.0001496164,0.08676079],"genre_scores_gemma":[0.9934461,0.0000844895,0.00217352,0.00005364516,0.00003537426,0.00001006303,0.00005264631,0.00001657794,0.004127522],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007449618,"threshold_uncertainty_score":0.02492148,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04265030509537739,"score_gpt":0.2943672696639447,"score_spread":0.2517169645685673,"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."}}