{"id":"W2033939657","doi":"10.1016/j.jpaa.2009.01.004","title":"Group gradings on the Lie algebra <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" display=\"inline\" overflow=\"scroll\"><mml:msub><mml:mrow><mml:mi mathvariant=\"fraktur\">p</mml:mi><mml:mi mathvariant=\"fraktur\">s</mml:mi><mml:mi mathvariant=\"fraktur\">l</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msub></mml:math> in positive characteristic","year":2009,"lang":"lv","type":"article","venue":"Journal of Pure and Applied Algebra","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":false,"ca_institutions":"Memorial University of Newfoundland","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Algebraically closed field; Abelian group; Scroll; Lie algebra; Group (periodic table); Algebra over a field; Pure mathematics; Physics","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","sts","scholarly_communication","research_integrity","insufficient_payload"],"consensus_categories":["metaepi_narrow","research_integrity","insufficient_payload"],"category_scores_codex":[0.003562222,0.00162857,0.0008319625,0.001016786,0.002335823,0.002689127,0.003385799,0.003609274,0.3100839],"category_scores_gemma":[0.002227282,0.002708211,0.002419244,0.001773565,0.001809,0.002142275,0.002043451,0.004480914,0.001692536],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004792562,"about_ca_system_score_gemma":0.001662459,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004140217,"about_ca_topic_score_gemma":0.0005817007,"domain_scores_codex":[0.9861044,0.0006435893,0.003682267,0.002344778,0.003744531,0.003480495],"domain_scores_gemma":[0.9867607,0.003335214,0.004937878,0.002976511,0.0002868267,0.001702868],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","study_design_scores_codex":[0.002664389,0.0007969749,0.000008858423,0.001250432,0.00210986,0.00399308,0.00365051,0.0002727516,0.005111374,0.7782536,0.1989549,0.002933341],"study_design_scores_gemma":[0.004827683,0.003607879,0.0004174843,0.00381174,0.003342075,0.006229431,0.003850846,0.00860505,0.9357703,0.02333005,0.003009563,0.003197905],"study_design_candidate":"bench_or_experimental","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6382462,0.001607394,0.002505986,0.002908791,0.003404333,0.0001220212,0.0004691941,0.0002609747,0.3504752],"genre_scores_gemma":[0.9777046,0.002394478,0.007037798,0.0051726,0.004666446,0.0007660832,0.0007991051,0.001149243,0.0003096816],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.9306589,"threshold_uncertainty_score":0.9996462,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01485706818489894,"score_gpt":0.240799556399046,"score_spread":0.2259424882141471,"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."}}