{"id":"W2103468656","doi":"10.1090/s0002-9939-08-09634-2","title":"Group gradings on simple Lie algebras in positive characteristic","year":2008,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":true,"ca_institutions":"Memorial University of Newfoundland","funders":"Natural Sciences and Engineering Research Council of Canada; Memorial University of Newfoundland; National Science Foundation","keywords":"Simple (philosophy); Pure mathematics; Mathematics; Group (periodic table); Simple Lie group; Representation of a Lie group; Lie algebra; Simple group; Algebra over a field; Physics; Philosophy; Epistemology; Quantum mechanics","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":[0.0003778569,0.000303971,0.0007309081,0.00004726183,0.000182996,0.00002014179,0.0006327118,0.00007656361,0.00004041072],"category_scores_gemma":[0.001350083,0.0002208402,0.0003870822,0.0006883402,0.001029134,0.0001572467,0.0002655609,0.000495429,0.00002075963],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001982195,"about_ca_system_score_gemma":0.00002165499,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000008468388,"about_ca_topic_score_gemma":3.859662e-7,"domain_scores_codex":[0.9979292,0.00001624451,0.0006141542,0.0003822839,0.0005842039,0.0004739688],"domain_scores_gemma":[0.9979822,0.0008125921,0.0007186661,0.0002541599,0.0001267191,0.0001056668],"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":[0.00004287706,0.000567236,0.004191847,0.0002938875,0.00007004658,0.000002071873,0.003953977,7.739371e-8,0.006067147,0.9822527,0.002252749,0.000305339],"study_design_scores_gemma":[0.000315603,0.0001754942,0.01266928,0.0002085986,0.00003523522,0.00003551929,0.0009257261,0.0001296691,0.004787914,0.9804122,0.0000502428,0.0002545028],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9952723,0.000006943877,0.0005118286,0.0006630087,0.00003369216,0.0004549575,0.00001059186,0.0001240662,0.002922652],"genre_scores_gemma":[0.9497554,0.00003062807,0.04916465,0.0006738771,0.00008599533,0.00005440713,0.000001088459,0.00006007089,0.0001739294],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.04865282,"threshold_uncertainty_score":0.9005602,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02700693517990561,"score_gpt":0.2913367444853016,"score_spread":0.264329809305396,"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."}}