{"id":"W1994253380","doi":"10.1007/s10474-006-0059-z","title":"Analysis on discrete cocompact subgroups of the generic filiform Lie groups","year":2006,"lang":"en","type":"article","venue":"Acta Mathematica Academiae Scientiarum Hungaricae","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"ca_institutions":"Western University","funders":"","keywords":"Mathematics; Discrete group; Quotient; Pure mathematics; Lie algebra; Group (periodic table); Simple (philosophy); Lie group; Affine transformation; Center (category theory); Maximal torus; Algebra over a field; Combinatorics; Fundamental representation","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":[0.0007221912,0.0009418565,0.0008080936,0.003017543,0.00146304,0.002497196,0.0009673508,0.0008386764,0.00721794],"category_scores_gemma":[0.00219176,0.0002130343,0.0007631639,0.0009284157,0.002907393,0.002303579,0.001956247,0.001319464,0.0005110711],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001579924,"about_ca_system_score_gemma":0.0005287139,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001523872,"about_ca_topic_score_gemma":0.0008982244,"domain_scores_codex":[0.9995602,0.0000952486,0.00002051327,0.00008082495,0.0001298873,0.0001133474],"domain_scores_gemma":[0.9991068,0.0002229588,0.0001631349,0.00007867464,0.0001836067,0.0002447185],"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":[0.0000553567,0.00002317637,0.0006701308,0.00002647877,0.00001168457,0.00009556384,0.0002938029,0.001417103,0.001030239,0.9930484,0.0003310546,0.002996986],"study_design_scores_gemma":[0.00002271578,0.00004885392,0.0009229062,0.00001612278,0.00001567032,0.0001396742,0.000377052,0.02464629,0.001156669,0.9702199,0.002418518,0.00001566594],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8415182,0.0007605641,0.09476268,0.001585103,0.0002039892,0.00007894707,0.0001914688,0.0001619935,0.06073709],"genre_scores_gemma":[0.9825773,0.0002569306,0.004577983,0.0001108644,0.0002518703,0.00003641854,0.0001350114,0.00004372376,0.01201005],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00721794,"threshold_uncertainty_score":0.02414644,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02971459756892554,"score_gpt":0.3200709731383972,"score_spread":0.2903563755694716,"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."}}