{"id":"W2045568819","doi":"10.2140/pjm.2004.214.245","title":"Intersection of conjugacy classes with Bruhat cells in Chevalley groups","year":2004,"lang":"en","type":"article","venue":"Pacific Journal of Mathematics","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":26,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Conjugacy class; Combinatorics; Intersection (aeronautics); Algebraic number; Simple (philosophy); Field (mathematics); Pure mathematics; Mathematical analysis; Geography","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006535864,0.0001849895,0.0005780443,0.0003400747,0.00002677245,0.00002048461,0.0002018661,0.00008405391,0.0000611979],"category_scores_gemma":[0.0003057405,0.0001333403,0.0001275821,0.0003769824,0.00009771279,0.0002668976,0.0000280386,0.0003321106,0.000008083613],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001358863,"about_ca_system_score_gemma":0.00009856186,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001199474,"about_ca_topic_score_gemma":0.00001298375,"domain_scores_codex":[0.9982763,0.0000354211,0.0009303988,0.0001082844,0.0004365076,0.0002131102],"domain_scores_gemma":[0.997966,0.000430212,0.001047527,0.0002359916,0.000241037,0.00007924755],"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":[0.001209963,0.01438922,0.005302495,0.0100265,0.001459974,0.0008355841,0.09673598,0.008923853,0.08013873,0.7737413,0.001383529,0.005852852],"study_design_scores_gemma":[0.003012253,0.000814342,0.0001525864,0.001946919,0.0001255999,0.0006746341,0.03572742,0.00008301684,0.05379213,0.90333,0.00006170269,0.0002794532],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8817407,0.0001138001,0.1151981,0.00007734471,0.0001782122,0.0001546461,0.000002959787,0.00001386409,0.00252037],"genre_scores_gemma":[0.927112,0.00007770131,0.07264832,0.000007858601,0.0000600903,0.0000016665,3.824663e-7,0.0000293588,0.00006256517],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1295886,"threshold_uncertainty_score":0.5437462,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02136225665172052,"score_gpt":0.2749888716727638,"score_spread":0.2536266150210432,"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."}}