{"id":"W1991400038","doi":"10.1063/1.3653296","title":"A classification of the embeddings of the Diamond Lie algebra into $\\mathfrak {sl}(3,\\mathbb {C})$sl(3,C) and $\\mathfrak {sp}(4,\\mathbb {C})$sp(4,C), and restrictions of irreducible modules","year":2011,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"City University of New York","keywords":"Indecomposable module; Combinatorics; Embedding; Rank (graph theory); Lie superalgebra; Lie algebra; Mathematics; Algebra over a field; Pure mathematics; Affine 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":[],"consensus_categories":[],"category_scores_codex":[0.0009207678,0.000361105,0.001017596,0.000139921,0.0001848674,0.00003010975,0.0008078499,0.0002137583,0.00003264689],"category_scores_gemma":[0.001817971,0.000223642,0.0003980393,0.0005666535,0.001023299,0.0004342585,0.0004190155,0.0006310628,0.000002513329],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006945354,"about_ca_system_score_gemma":0.0001396073,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001018012,"about_ca_topic_score_gemma":0.000004018777,"domain_scores_codex":[0.9964814,0.0001910728,0.001840611,0.0002851626,0.0008933903,0.0003084033],"domain_scores_gemma":[0.9941694,0.001238924,0.002809193,0.001057975,0.0005725456,0.0001520024],"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":[0.00004957906,0.001040035,0.000922725,0.001400244,0.0002082996,0.000001650475,0.008675388,0.00000788511,0.01512908,0.9705378,0.0004163779,0.001610983],"study_design_scores_gemma":[0.0005592275,0.0001673704,0.007989154,0.0008907362,0.0003823033,0.00007849452,0.001434642,0.0008003467,0.03217875,0.9552713,0.00005187474,0.0001957863],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9746814,0.0002926369,0.02186122,0.0003403332,0.0002322911,0.000500744,0.0000226303,0.00002097084,0.002047717],"genre_scores_gemma":[0.9300659,0.0001550938,0.0694581,0.00002670977,0.000120673,0.00001321582,4.907752e-7,0.00006053308,0.00009928824],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.04759689,"threshold_uncertainty_score":0.9119855,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06550226869835789,"score_gpt":0.3088408248996681,"score_spread":0.2433385562013102,"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."}}