{"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":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0003466077,0.000180529,0.0003517112,0.0002199464,0.00022475,0.00002559036,0.0002330611,0.00009904914,0.004413586],"category_scores_gemma":[0.0004304772,0.0001335878,0.000137863,0.000747618,0.0000962006,0.0002002947,0.00008386315,0.0001193972,0.0003781875],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003407992,"about_ca_system_score_gemma":0.00009320278,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004857121,"about_ca_topic_score_gemma":0.0001338235,"domain_scores_codex":[0.9986998,0.00004571216,0.0004166964,0.0002139364,0.0003221902,0.0003016137],"domain_scores_gemma":[0.998895,0.0003497822,0.00009979583,0.0003750795,0.0001362689,0.00014408],"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":[0.0000789393,0.0009077763,0.05394338,0.0001828327,0.001839648,0.0005600559,0.008780694,0.00006478094,0.0002879464,0.7303282,0.1949422,0.008083559],"study_design_scores_gemma":[0.01784727,0.002106798,0.0814302,0.000268439,0.00305122,0.004415701,0.02304654,0.04449302,0.02280261,0.4298952,0.3594935,0.01114944],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5916548,0.0001625983,0.33111,0.0003310817,0.0001018341,0.0002950531,0.000007634231,0.0003097715,0.07602724],"genre_scores_gemma":[0.9705733,0.00008152044,0.01741672,0.0006237431,0.00007235358,0.00001197561,0.00001148267,0.00002190108,0.01118699],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3789186,"threshold_uncertainty_score":0.9964965,"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."}}