{"id":"W2922240506","doi":"10.1007/s10468-020-09983-9","title":"Gauge Modules for the Lie Algebras of Vector Fields on Affine Varieties","year":2020,"lang":"en","type":"preprint","venue":"Algebras and Representation Theory","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"Carleton University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Lie algebra; Variety (cybernetics); Algebra over a field; Pure mathematics; Vector field; Affine transformation; Affine Lie algebra; Gauge (firearms); Current algebra; Geometry","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002075719,0.0002213545,0.0003274252,0.00004113134,0.0001620867,0.00007610652,0.0002283411,0.0001146857,0.0003197807],"category_scores_gemma":[0.00004664825,0.0001521514,0.0002500591,0.0000606074,0.0001620046,0.00003877904,0.0002448877,0.0003148568,0.00000513861],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000005460588,"about_ca_system_score_gemma":0.00005245931,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000143774,"about_ca_topic_score_gemma":0.000003962454,"domain_scores_codex":[0.9988847,0.0001095212,0.0003168161,0.0003734625,0.0001533313,0.0001621971],"domain_scores_gemma":[0.9982245,0.0009706334,0.0002366551,0.0004253907,0.00008022009,0.00006259702],"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":[0.0001450052,0.00007555143,0.000385905,0.00009361306,0.0003734157,4.309224e-7,0.001085129,0.0002969413,0.0001666923,0.9812917,0.001972234,0.01411339],"study_design_scores_gemma":[0.0004153053,0.0001014728,0.003481906,0.00005090157,0.0001755496,2.93189e-7,0.00144409,0.001462898,0.00557498,0.9855286,0.001560141,0.0002038821],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7354994,0.002486459,0.2253651,0.01397934,0.002601617,0.003373416,0.002070869,0.0001269352,0.01449685],"genre_scores_gemma":[0.996019,0.00008224796,0.0006635468,0.0001953288,0.001176731,0.0001014739,0.0002976702,0.00003113429,0.001432832],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2605196,"threshold_uncertainty_score":0.6204556,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0261885389597374,"score_gpt":0.2959475995158558,"score_spread":0.2697590605561184,"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."}}