{"id":"W1578236885","doi":"10.5802/aif.2988","title":"Geometrization of principal series representations of reductive groups","year":2015,"lang":"en","type":"preprint","venue":"Annales de l’institut Fourier","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"University of Calgary; National Science Foundation","keywords":"Equivariant map; Mathematics; Pure mathematics; Reductive group; Invariant (physics); TRACE (psycholinguistics); Representation theory; Series (stratigraphy); Algebra over a field; Group theory; Linguistics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004520438,0.000515072,0.0003869125,0.00189804,0.001286302,0.002245536,0.0006759672,0.0005716005,0.003481766],"category_scores_gemma":[0.001065661,0.0002059579,0.0007501249,0.000926519,0.002821833,0.00330088,0.002228932,0.001263124,0.0004408483],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001575405,"about_ca_system_score_gemma":0.0004078265,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001038388,"about_ca_topic_score_gemma":0.000497042,"domain_scores_codex":[0.9994825,0.0001004907,0.00002199625,0.0001121769,0.0001631724,0.0001196379],"domain_scores_gemma":[0.9996374,0.00006112245,0.00006121643,0.0000784696,0.0000639489,0.00009779148],"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":[0.00002224549,0.00001453476,0.0004889211,0.00001609357,0.000006154292,0.0001262316,0.001026184,0.0004802663,0.00193546,0.9900259,0.0004286877,0.005429303],"study_design_scores_gemma":[0.00001371782,0.00006772338,0.001093842,0.00001255308,0.00001107188,0.0004501803,0.0008456169,0.005009101,0.0030735,0.9815103,0.007892822,0.00001946789],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9197006,0.0003667942,0.03801836,0.0007642122,0.0000883213,0.00003578997,0.0001990541,0.0003429442,0.04048388],"genre_scores_gemma":[0.982358,0.0002027383,0.00474196,0.00007691388,0.00008329485,0.00002192909,0.000184767,0.00006531343,0.01226511],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003481766,"threshold_uncertainty_score":0.0116477,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.064436819703654,"score_gpt":0.3499467961849938,"score_spread":0.2855099764813398,"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."}}