{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001092342,0.0006382564,0.0009732966,0.004537661,0.00329631,0.006642249,0.0009580599,0.001605709,0.004055801],"category_scores_gemma":[0.005531966,0.0008951187,0.0006454631,0.002087716,0.005753115,0.006888036,0.003783151,0.002215594,0.0005137883],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001325832,"about_ca_system_score_gemma":0.0003898755,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001279217,"about_ca_topic_score_gemma":0.0006909558,"domain_scores_codex":[0.9986843,0.0002342587,0.00007530804,0.0002193279,0.0003625139,0.0004241508],"domain_scores_gemma":[0.9951099,0.002499091,0.0009225726,0.0003152202,0.0003344451,0.0008188781],"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":[0.0004198855,0.0001046281,0.01449239,0.0000611612,0.0000385665,0.0007011402,0.003403925,0.002455549,0.005578767,0.9656935,0.0004499952,0.006600424],"study_design_scores_gemma":[0.0001313347,0.0002181839,0.01212893,0.00009324997,0.00005854648,0.001301353,0.004583798,0.01971669,0.01761276,0.9377732,0.006292279,0.00008964127],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9817392,0.0001317823,0.008748556,0.0001459924,0.00001469971,0.00002675443,0.00005922285,0.00003826698,0.009095492],"genre_scores_gemma":[0.9938181,0.0001721696,0.00304264,0.00002944637,0.00005621946,0.00005943987,0.0002093976,0.00002255842,0.002589933],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006642249,"threshold_uncertainty_score":0.01356798,"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."}}