{"id":"W2765111661","doi":"10.3842/sigma.2018.130","title":"On Gradings Modulo 2 of Simple Lie Algebras in Characteristic 2","year":2018,"lang":"en","type":"article","venue":"Symmetry Integrability and Geometry Methods and Applications","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"York University; New York University Abu Dhabi","keywords":"Mathematics; Lie algebra; Pure mathematics; Modulo; Simple (philosophy); Lie superalgebra; Simple Lie group; Lie conformal algebra; Affine Lie algebra; Killing form; Algebra over a field; Adjoint representation of a Lie algebra; Discrete mathematics; Current algebra","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":[],"consensus_categories":[],"category_scores_codex":[0.001435406,0.00019234,0.0004277356,0.0002920773,0.0001271471,0.00002135323,0.0001728006,0.0001412992,0.00009025964],"category_scores_gemma":[0.002564238,0.0001682792,0.00005766108,0.0008481209,0.0005411921,0.00008284441,0.0001034394,0.0003182367,0.000004912813],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004065672,"about_ca_system_score_gemma":0.00001478936,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003262611,"about_ca_topic_score_gemma":0.00001852737,"domain_scores_codex":[0.998486,0.0001819457,0.0005082105,0.0004672543,0.00013005,0.0002265652],"domain_scores_gemma":[0.9963052,0.002722853,0.0001801381,0.0005664735,0.0001218391,0.0001034871],"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":[0.00001669418,0.0001861425,0.002068348,0.0001632097,0.00001513102,1.528078e-7,0.0001470879,2.508454e-8,0.001997836,0.8312309,0.00001254091,0.164162],"study_design_scores_gemma":[0.0001982318,0.0001396312,0.009583913,0.00003400225,0.00002212215,0.00000400732,0.0002049141,0.0001068875,0.01205494,0.9758649,0.001630287,0.0001561873],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6625453,0.00007823828,0.3358172,0.0001227925,0.0000389762,0.0003716605,0.00003721017,0.00003121709,0.0009574429],"genre_scores_gemma":[0.8004462,0.00003993976,0.1991608,0.000087398,0.00007723515,0.0001077847,0.000005944482,0.00001541939,0.00005936193],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1640058,"threshold_uncertainty_score":0.6862225,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04249088371651424,"score_gpt":0.405112065754563,"score_spread":0.3626211820380487,"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."}}