{"id":"W1587315189","doi":"10.1515/forum-2014-0195","title":"Restricted enveloping algebras whose skew and symmetric elements are Lie metabelian","year":2015,"lang":"en","type":"preprint","venue":"Forum Mathematicum","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Memorial University of Newfoundland","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Pure mathematics; Lie algebra; Skew; Involution (esoterism); Universal enveloping algebra; Lie superalgebra; Algebra over a field; Field (mathematics); Lie conformal algebra; Affine Lie algebra; Physics; Current algebra; Psychology","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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.001013256,0.0009991729,0.001711364,0.0008880461,0.0002558453,0.0003041023,0.001024761,0.0007138038,0.0001077749],"category_scores_gemma":[0.005706624,0.0009316268,0.000262772,0.0007709428,0.000147768,0.0002589326,0.003075552,0.001314622,0.0001452154],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004238038,"about_ca_system_score_gemma":0.0002532721,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001271362,"about_ca_topic_score_gemma":0.00002345226,"domain_scores_codex":[0.9947575,0.0001847106,0.001722322,0.001130028,0.001136373,0.001069069],"domain_scores_gemma":[0.9943304,0.000888616,0.002002024,0.001929118,0.0004288042,0.000421052],"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":[0.00002294318,0.0004931103,0.0009436643,0.006861004,0.0008355849,0.00009839813,0.001579271,0.000004182966,0.00004867221,0.9608557,0.02491311,0.003344418],"study_design_scores_gemma":[0.0007824012,0.00005737656,0.0001426026,0.002062369,0.0003917532,0.00003958249,0.0006001524,0.0005896063,0.0003987315,0.9900143,0.003970581,0.0009505445],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"methods","genre_scores_codex":[0.8039334,0.01341903,0.1259406,0.005751204,0.005733586,0.01119679,0.0007110063,0.003440019,0.02987432],"genre_scores_gemma":[0.08539295,0.0007190022,0.9048068,0.0004885184,0.0006763915,0.0008122712,0.0001791533,0.000617211,0.006307725],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.7788661,"threshold_uncertainty_score":0.9993134,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0781967965590205,"score_gpt":0.3395013919649343,"score_spread":0.2613045954059138,"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."}}