{"id":"W3100929986","doi":"","title":"CONFORMALLY INVARIANT OPERATORS VIA CURVED CASIMIRS: EXAMPLES","year":2008,"lang":"en","type":"article","venue":"","topic":"Algebraic and Geometric Analysis","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Banff International Research Station for Mathematical Innovation and Discovery; Austrian Science Fund; Grantová Agentura České Republiky; University of Auckland; Institute of Mathematics and its Applications","keywords":"Mathematics; Invariant (physics); Differential operator; Infinitesimal; Laplace operator; Operator theory; Pure mathematics; Algebra over a field; Mathematical analysis; Mathematical physics","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":[0.0003417421,0.0005939761,0.0003648929,0.000985035,0.001134197,0.0008968807,0.0006615089,0.001025689,0.002529234],"category_scores_gemma":[0.0008737842,0.0002335495,0.0005081441,0.0007872945,0.002201032,0.001169094,0.001264946,0.00127417,0.0003595374],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006492999,"about_ca_system_score_gemma":0.0002935757,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008400056,"about_ca_topic_score_gemma":0.0008007533,"domain_scores_codex":[0.9997042,0.00008816301,0.00001670257,0.00002895158,0.0001264662,0.00003556622],"domain_scores_gemma":[0.9997402,0.00006602486,0.00003652242,0.00003686835,0.00006483741,0.0000555844],"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":[0.00001127242,0.00001435038,0.0001228777,0.00003800523,0.000005100172,0.0002948714,0.0003073693,0.002380208,0.002111786,0.9921167,0.0006579396,0.001939508],"study_design_scores_gemma":[0.00002153459,0.0000349227,0.0003180263,0.00001662277,0.000007373157,0.000456942,0.0002438622,0.02717987,0.001610575,0.9641605,0.005920748,0.00002895608],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6219961,0.00203016,0.1748441,0.002054518,0.0003787439,0.0001332366,0.0001406679,0.0004605308,0.197962],"genre_scores_gemma":[0.9459358,0.0008842938,0.0340656,0.000228905,0.0001479725,0.0000709149,0.00007146509,0.00006988094,0.01852528],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002529234,"threshold_uncertainty_score":0.008461118,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0782037373561505,"score_gpt":0.2823802475505489,"score_spread":0.2041765101943984,"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."}}