{"id":"W1661712818","doi":"10.1090/conm/442/08518","title":"Conjugacy results for the Lie algebra 𝔰𝔩₂ over an algebra which is a UFD","year":2007,"lang":"en","type":"other","venue":"Contemporary mathematics - American Mathematical Society","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Saskatchewan","funders":"","keywords":"Mathematics; Conjugacy class; Algebra over a field; Lie conformal algebra; Cellular algebra; Graded Lie algebra; Filtered algebra; Lie algebra; Pure mathematics; Algebra representation","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":["metaepi_narrow"],"category_scores_codex":[0.00352373,0.002139297,0.003563242,0.0003323829,0.0006020402,0.0004051456,0.002891462,0.001252509,0.002582649],"category_scores_gemma":[0.004001695,0.001589597,0.001750138,0.001505012,0.002275366,0.0003700225,0.0007348415,0.00179519,0.0004400367],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000344424,"about_ca_system_score_gemma":0.0005998706,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00005268376,"about_ca_topic_score_gemma":0.00003892709,"domain_scores_codex":[0.9905155,0.0002407289,0.003298278,0.002018577,0.002100669,0.00182621],"domain_scores_gemma":[0.9786695,0.01110638,0.003992744,0.004925396,0.0005153691,0.0007906134],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00006405821,0.0009604518,0.000003110182,0.002050656,0.001095682,0.000009950373,0.004301614,1.545437e-7,0.00001713758,0.4054061,0.585389,0.0007020715],"study_design_scores_gemma":[0.0021454,0.0003859462,0.000003036155,0.001169352,0.0006191147,0.00003454573,0.00378604,0.003305591,0.00009322186,0.6896863,0.2970566,0.001714816],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"other","genre_gemma":"methods","genre_scores_codex":[0.0004224067,0.001459351,0.473422,0.002832802,0.0007409586,0.008764047,0.001899465,0.002451943,0.508007],"genre_scores_gemma":[0.00149744,0.0003785125,0.6368874,0.003676339,0.002253762,0.0010808,0.0002908231,0.003331667,0.3506033],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.2883324,"threshold_uncertainty_score":0.9991348,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0705900358335345,"score_gpt":0.3616996311905286,"score_spread":0.2911095953569941,"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."}}