{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00174573,0.0004904484,0.0007328633,0.001995513,0.001977444,0.003503432,0.001086855,0.0009910053,0.003887596],"category_scores_gemma":[0.007724262,0.0003970185,0.0004786008,0.001427424,0.005018232,0.007566062,0.00240043,0.002074638,0.0004263696],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001432563,"about_ca_system_score_gemma":0.001048652,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00152798,"about_ca_topic_score_gemma":0.001861898,"domain_scores_codex":[0.9993879,0.0001795795,0.00003719472,0.0001077398,0.0001465976,0.0001409793],"domain_scores_gemma":[0.9960036,0.001537832,0.0006893757,0.000403271,0.0004243618,0.0009415597],"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":[0.00003406952,0.00002515574,0.0009020907,0.00001544514,0.000002372447,0.00005245702,0.0003334074,0.0007153531,0.0005648451,0.9940622,0.0003608203,0.002931746],"study_design_scores_gemma":[0.000009623843,0.000007513434,0.0004705347,0.000006621742,0.000002695484,0.00005821337,0.00009476695,0.002251709,0.0002404002,0.996351,0.0004987238,0.000008277911],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9201484,0.001487713,0.03121486,0.002193549,0.0001443275,0.00002965108,0.0001852026,0.0001086247,0.04448769],"genre_scores_gemma":[0.9888227,0.0004925316,0.002615116,0.00007568084,0.0001407331,0.00001397085,0.00009883756,0.00002558799,0.007714851],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003887596,"threshold_uncertainty_score":0.01300532,"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."}}