{"id":"W2609143931","doi":"10.1090/amsip/040/04","title":"Geometry on higher dimensional Heisenberg groups","year":2008,"lang":"en","type":"book-chapter","venue":"AMS/IP studies in advanced mathematics","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Geometry; Heisenberg group; Physics; Mathematics; Pure mathematics","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":[0.0003946879,0.001238167,0.0009410044,0.001796789,0.001857466,0.002901564,0.0009618977,0.0009266024,0.00951762],"category_scores_gemma":[0.000500257,0.0004110517,0.0004477284,0.00169093,0.003838594,0.004885132,0.001648021,0.002471498,0.002233649],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001849646,"about_ca_system_score_gemma":0.0006568077,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009259299,"about_ca_topic_score_gemma":0.0009273647,"domain_scores_codex":[0.9996803,0.00007521108,0.00001234291,0.00003861188,0.0001461177,0.00004738593],"domain_scores_gemma":[0.9997677,0.00006209568,0.00002744944,0.00004808094,0.00004169448,0.00005303161],"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":[0.000004474899,0.000006381543,0.00001889073,0.00001895309,0.000002284101,0.00002505631,0.0001598453,0.0002615358,0.0003140793,0.9943933,0.002097565,0.002697672],"study_design_scores_gemma":[0.000003935284,0.000006375109,0.0001057869,0.00000858801,0.00000206056,0.00006370432,0.00005101067,0.0003803184,0.0001467007,0.9845271,0.01469935,0.000005038775],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.1126408,0.01047774,0.03069242,0.00488911,0.002660249,0.00004583083,0.0002971911,0.0003006962,0.8379959],"genre_scores_gemma":[0.6551297,0.0101482,0.01077389,0.0008225535,0.004347998,0.00009370042,0.0003062342,0.0002667224,0.3181111],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.00951762,"threshold_uncertainty_score":0.03183955,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1059992312433264,"score_gpt":0.3569529935603691,"score_spread":0.2509537623170428,"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."}}