{"id":"W2033536852","doi":"10.4153/cmb-2005-041-x","title":"On the Garsia Lie Idempotent","year":2005,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Mathematics; Idempotence; Idempotent matrix; Lie superalgebra; Graded Lie algebra; Unit (ring theory); Pure mathematics; Lie conformal algebra; Algebra over a field; Combinatorics; Affine Lie algebra; Current algebra","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":true,"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":[0.0006437789,0.0004081711,0.0004951254,0.001206602,0.001241656,0.001449752,0.0003752264,0.000591254,0.003739328],"category_scores_gemma":[0.00117449,0.000166239,0.0003898141,0.000471961,0.003026262,0.001461416,0.001208406,0.0009881571,0.001189607],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005890389,"about_ca_system_score_gemma":0.0003292334,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005996639,"about_ca_topic_score_gemma":0.0005311876,"domain_scores_codex":[0.9993992,0.0001068259,0.00002607799,0.0001056321,0.0002134006,0.0001488637],"domain_scores_gemma":[0.9995746,0.00007219796,0.00007243299,0.0000536209,0.00011613,0.000111005],"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":[0.00005453838,0.00002348922,0.0003461804,0.00001850027,0.000003244627,0.0003283547,0.0003689692,0.0003705059,0.004736127,0.9878378,0.0003964576,0.005515954],"study_design_scores_gemma":[0.00002116254,0.0001624556,0.001086841,0.00003288389,0.00000766722,0.0005182708,0.0002548033,0.004557029,0.006089984,0.9764544,0.01079274,0.00002176531],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7707936,0.000525736,0.05679678,0.0004654068,0.0003119376,0.00004307551,0.0001009995,0.0001894956,0.170773],"genre_scores_gemma":[0.9796622,0.0001851534,0.005851651,0.0001093417,0.0001917619,0.00001997358,0.0000659025,0.00004030945,0.01387366],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003739328,"threshold_uncertainty_score":0.01250929,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03678386177255462,"score_gpt":0.2782270307080013,"score_spread":0.2414431689354467,"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."}}