{"id":"W2962983448","doi":"10.1016/j.aim.2016.08.015","title":"The Capelli problem for <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" overflow=\"scroll\"><mml:mrow><mml:mi mathvariant=\"fraktur\">gl</mml:mi></mml:mrow><mml:mo stretchy=\"false\">(</mml:mo><mml:mi>m</mml:mi><mml:mo stretchy=\"false\">|</mml:mo><mml:mi>n</mml:mi><mml:mo stretchy=\"false\">)</mml:mo></mml:math> and the spectrum of invariant differential operators","year":2016,"lang":"lv","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Ottawa","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Scroll; Algorithm; Theology; Philosophy","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001292192,0.0008419152,0.001040886,0.002068835,0.00465875,0.005746164,0.001957464,0.003012549,0.04899275],"category_scores_gemma":[0.007150869,0.0005584413,0.001183683,0.001580822,0.004423604,0.009704241,0.003942419,0.00580202,0.006399508],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.004598229,"about_ca_system_score_gemma":0.001795131,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.004251804,"about_ca_topic_score_gemma":0.00320169,"domain_scores_codex":[0.9987827,0.0001975403,0.00005663538,0.0003411026,0.0002955411,0.0003265099],"domain_scores_gemma":[0.9976204,0.001284776,0.0002053219,0.0003132986,0.0002718146,0.0003043819],"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":[0.000024059,0.00001316608,0.0001122827,0.00002624931,0.000003041211,0.00005248408,0.0001104906,0.0002710745,0.0001122406,0.9853935,0.01000751,0.003873992],"study_design_scores_gemma":[0.00001656424,0.00000448725,0.0001257526,0.00002367183,0.000003884598,0.00008389737,0.0001002137,0.003507376,0.000289927,0.9858658,0.009968278,0.00001009121],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.1116444,0.001993697,0.1335157,0.02992378,0.001269082,0.0001420363,0.001484537,0.0006525724,0.7193741],"genre_scores_gemma":[0.7195596,0.00154517,0.03516841,0.002477731,0.001085764,0.0002448955,0.001981111,0.000795384,0.237142],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.04899275,"threshold_uncertainty_score":0.1638971,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01353163502281164,"score_gpt":0.2415548215938541,"score_spread":0.2280231865710425,"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."}}