{"id":"W2084845260","doi":"10.1016/j.aim.2011.02.001","title":"Sums of adjoint orbits and <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" overflow=\"scroll\"><mml:msup><mml:mi>L</mml:mi><mml:mn>2</mml:mn></mml:msup></mml:math>-singular dichotomy for <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si2.gif\" overflow=\"scroll\"><mml:mi mathvariant=\"italic\">SU</mml:mi><mml:mo stretchy=\"false\">(</mml:mo><mml:mi>m</mml:mi><mml:mo stretchy=\"false\">)</mml:mo></mml:math>","year":2011,"lang":"lv","type":"article","venue":"Advances in Mathematics","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Conjugacy class; Lie algebra; Lie group; Invariant (physics); Haar measure; Eigenvalues and eigenvectors; Pure mathematics; Algebra over a field; Mathematical physics; Physics","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","sts","scholarly_communication","research_integrity","insufficient_payload"],"consensus_categories":["metaepi_narrow","sts","research_integrity","insufficient_payload"],"category_scores_codex":[0.004996672,0.003401495,0.002193103,0.001549653,0.003046512,0.002377543,0.005006052,0.005306008,0.004537119],"category_scores_gemma":[0.006205272,0.005132564,0.004045534,0.002936987,0.00406129,0.004710124,0.004578221,0.00420992,0.002972376],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001350048,"about_ca_system_score_gemma":0.002459708,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009657929,"about_ca_topic_score_gemma":0.001160504,"domain_scores_codex":[0.9763918,0.00080661,0.006733486,0.0046535,0.005551463,0.005863122],"domain_scores_gemma":[0.9779858,0.005617251,0.007447809,0.005785455,0.0008036735,0.002359988],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.002557235,0.002172763,0.00004116046,0.009747969,0.003661877,0.00230895,0.009001506,0.002113454,0.002364264,0.952565,0.008966473,0.00449931],"study_design_scores_gemma":[0.008542427,0.005511522,0.00005204988,0.008831588,0.006023756,0.004802397,0.01223912,0.5109633,0.3186246,0.1090854,0.008895803,0.006428039],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9604539,0.006532026,0.007278386,0.0004787322,0.00419856,0.0005624137,0.002136684,0.0009355359,0.01742373],"genre_scores_gemma":[0.9405002,0.006032093,0.04201902,0.001343471,0.002591769,0.003088667,0.001652469,0.00242216,0.0003501534],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.8434797,"threshold_uncertainty_score":0.9986581,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02123650584473552,"score_gpt":0.2579317338160929,"score_spread":0.2366952279713573,"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."}}