{"id":"W4403301538","doi":"10.1080/00927872.2024.2407993","title":"Cyclic wide subalgebras of semisimple Lie algebras","year":2024,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"","keywords":"Cartan subalgebra; Subalgebra; Indecomposable module; Mathematics; Semisimple Lie algebra; Pure mathematics; Lie algebra; Nilpotent; Cartan decomposition; Killing form; Lie conformal algebra; Real form; Algebra over a field; Affine Lie algebra; Adjoint representation of a Lie algebra; 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"],"consensus_categories":[],"category_scores_codex":[0.0007926023,0.0003039972,0.0004945632,0.0004872074,0.0001423086,0.00007101912,0.002165442,0.0002049439,0.0003818304],"category_scores_gemma":[0.001787093,0.0003167673,0.0001891624,0.001344816,0.000494935,0.0003618296,0.0009606205,0.0007879505,0.0001574824],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002106489,"about_ca_system_score_gemma":0.0001685796,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002963371,"about_ca_topic_score_gemma":0.0002055655,"domain_scores_codex":[0.9974678,0.0002588691,0.001051598,0.000437575,0.0003506664,0.0004334798],"domain_scores_gemma":[0.9912914,0.004355492,0.0001903467,0.003945047,0.0001139405,0.0001037557],"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":[0.000005453457,0.0002074749,0.002234092,0.0002204103,0.00006198321,0.000009301662,0.0008555129,0.000002225692,0.0007874669,0.9854656,0.002924507,0.007225989],"study_design_scores_gemma":[0.0002659912,0.00003039553,0.001171569,0.0003988191,0.00004642213,0.00001827987,0.0002085601,0.0003766454,0.004694139,0.9669475,0.02553781,0.0003038706],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8939005,0.02023277,0.01904337,0.006833039,0.0007961345,0.001380974,0.00008286203,0.001243244,0.05648708],"genre_scores_gemma":[0.9160656,0.001082053,0.08159558,0.000170807,0.00005933659,0.0001419587,0.00004275886,0.0000973323,0.0007445473],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.06255221,"threshold_uncertainty_score":0.9999284,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08211393328928634,"score_gpt":0.3881111583812006,"score_spread":0.3059972250919142,"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."}}