{"id":"W1979113098","doi":"10.1007/s10468-013-9409-z","title":"Derivations, Gradings, Actions of Algebraic Groups, and Codimension Growth of Polynomial Identities","year":2013,"lang":"en","type":"article","venue":"Algebras and Representation Theory","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":19,"is_retracted":false,"has_abstract":false,"ca_institutions":"Memorial University of Newfoundland","funders":"","keywords":"Mathematics; Automorphism; Pure mathematics; Codimension; Lie algebra; Algebraic group; Polynomial; Abelian group; Universal enveloping algebra; Conjecture; Invariant theory; Algebra over a field; Algebraic number","routes":{"ca_aff":true,"ca_fund":false,"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":[0.000221628,0.00012449,0.0002479247,0.0001636313,0.000124982,0.0000260634,0.00008243593,0.00007525735,0.0001499728],"category_scores_gemma":[0.000514307,0.0001128817,0.00004957953,0.0001601583,0.0003733455,0.0004495427,0.00009505402,0.00009277397,0.000002974605],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001212448,"about_ca_system_score_gemma":0.000015266,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00005176131,"about_ca_topic_score_gemma":0.000003741519,"domain_scores_codex":[0.9989472,0.0001151898,0.0004262143,0.000208039,0.000177005,0.0001263198],"domain_scores_gemma":[0.9984491,0.0008740743,0.000237063,0.000222813,0.0001608309,0.00005605249],"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":[0.00001669248,0.00005038443,0.005492624,0.000115685,0.0000633392,4.622972e-7,0.001202084,2.585178e-7,0.02021301,0.9708057,0.0008264951,0.001213233],"study_design_scores_gemma":[0.0003764268,0.00004136988,0.01616969,0.00003864002,0.00005184105,0.00001583241,0.001924295,0.00001993844,0.05717948,0.9240724,0.000007909592,0.000102179],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9906622,0.000331598,0.007660905,0.0001884461,0.0001302777,0.0003188564,0.000006936581,0.00003674396,0.000664037],"genre_scores_gemma":[0.9919781,0.0002752654,0.007144274,0.00004326444,0.00004840349,0.0000278564,0.000009962339,0.00001991227,0.0004529341],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.04673334,"threshold_uncertainty_score":0.4603183,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0326423230114298,"score_gpt":0.3081484467024125,"score_spread":0.2755061236909827,"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."}}