{"id":"W3097181665","doi":"10.1080/00927872.2020.1842881","title":"Fgc extended affine Lie algebras as fixed point subalgebras","year":2020,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Alberta","funders":"Natural Science Foundation of Hubei Province; National Natural Science Foundation of China","keywords":"Mathematics; Affine transformation; Pure mathematics; Automorphism; Fixed point; Affine representation; Abelian group; Lie algebra; Affine Lie algebra; Algebra over a field; Mathematical analysis; Current algebra","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":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.000594774,0.0005005184,0.0007082752,0.000258007,0.0003470424,0.0001072564,0.003493461,0.0002795082,0.001633171],"category_scores_gemma":[0.004662564,0.0005441463,0.0002208465,0.001335215,0.0004881967,0.0004770864,0.00193173,0.001236942,0.0009863588],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00025495,"about_ca_system_score_gemma":0.0001915799,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000213069,"about_ca_topic_score_gemma":0.0001415633,"domain_scores_codex":[0.9964605,0.0004534643,0.00120197,0.0007097268,0.0004978425,0.00067651],"domain_scores_gemma":[0.9928143,0.00176665,0.0003945746,0.004475493,0.0001988341,0.0003501304],"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":[0.0000400836,0.0005026088,0.000461477,0.00006972357,0.00006052252,0.00002235322,0.001872161,0.000004027669,0.0009368217,0.9844487,0.004052828,0.007528717],"study_design_scores_gemma":[0.001290466,0.0001465503,0.001020104,0.0001097688,0.00005418947,0.00002988324,0.0006446246,0.0005209307,0.005422686,0.9697759,0.02035391,0.0006309755],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5807391,0.006720539,0.04346653,0.1560796,0.0009731877,0.005100302,0.0001116077,0.003820883,0.2029882],"genre_scores_gemma":[0.8470982,0.0006007984,0.1475592,0.003359211,0.0001811255,0.0002583709,0.00008058995,0.0001434412,0.000719019],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2663592,"threshold_uncertainty_score":0.9997915,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.09678061800907635,"score_gpt":0.3659406156144896,"score_spread":0.2691599976054133,"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."}}