{"id":"W1988328127","doi":"10.1016/j.jalgebra.2013.08.003","title":"Finite dimensional irreducible representations of elementary unitary Lie algebras over quantum tori","year":2013,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"ca_institutions":"York University; University of Alberta","funders":"China Scholarship Council; Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China; University of Alberta","keywords":"Mathematics; Unitary state; Pure mathematics; Torus; Representation of a Lie group; Quantum; (g,K)-module; Lie algebra; Representation theory of SU; Algebra over a field; Irreducible representation; Fundamental representation; Maximal torus; Lie conformal algebra; Adjoint representation of a Lie algebra; Quantum mechanics; Geometry; Physics","routes":{"ca_aff":true,"ca_fund":true,"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":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0003494858,0.0002218691,0.0005033239,0.0002356662,0.0001043886,0.0000414267,0.0003854001,0.0001144849,0.002557944],"category_scores_gemma":[0.0004798835,0.0001782038,0.0003048582,0.0002883189,0.00008969929,0.0005671557,0.0001313804,0.0003579032,0.00001825356],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006819692,"about_ca_system_score_gemma":0.000190033,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001714633,"about_ca_topic_score_gemma":0.000004176432,"domain_scores_codex":[0.9975128,0.0001102514,0.001129398,0.0001914855,0.0007682487,0.000287824],"domain_scores_gemma":[0.9969089,0.0008011584,0.00115602,0.0004201328,0.00051867,0.0001951178],"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":[0.0001415076,0.0005334133,0.004058709,0.0001015066,0.0006768728,0.00003502384,0.0009464147,0.0002227793,0.003450894,0.8979321,0.09114565,0.0007551663],"study_design_scores_gemma":[0.001082643,0.000335423,0.007498687,0.0001057478,0.0001398603,0.00005758526,0.0004242205,0.0003189282,0.002457916,0.9870594,0.0003297076,0.000189855],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9961396,0.0003649398,0.0003723298,0.0007426539,0.00170169,0.0002259979,0.000009173697,0.00001724904,0.000426342],"genre_scores_gemma":[0.9936991,0.00004243209,0.005148886,0.0002591194,0.0005902372,0.000006766442,0.000006973653,0.00003652442,0.0002099511],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.09081594,"threshold_uncertainty_score":0.9983538,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02708313627842203,"score_gpt":0.297793387973106,"score_spread":0.270710251694684,"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."}}