{"id":"W3001507502","doi":"10.48550/arxiv.2001.07584","title":"Three perspectives on categorical symmetric Howe duality","year":2020,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo; Perimeter Institute","funders":"","keywords":"Quiver; Categorical variable; Mathematics; Categorification; Functor; Pure mathematics; Diagrammatic reasoning; Duality (order theory); Algebra over a field; Invariant (physics); Representation theory; Computer science; Mathematical physics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002889525,0.0005010873,0.0005621267,0.001849688,0.002842476,0.007053856,0.001064935,0.002463683,0.005698348],"category_scores_gemma":[0.003132247,0.0003104462,0.0007570671,0.001192377,0.01349793,0.01206928,0.004799219,0.004065905,0.0006785474],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002648711,"about_ca_system_score_gemma":0.001369258,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001042926,"about_ca_topic_score_gemma":0.0008934477,"domain_scores_codex":[0.9980762,0.0008645857,0.00006046644,0.0002496884,0.0004646948,0.0002843885],"domain_scores_gemma":[0.9985747,0.000504346,0.00011062,0.0002606818,0.00027362,0.0002759636],"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":[0.000001668346,0.000002062244,0.00003151531,0.000003532361,5.264128e-7,0.000006757357,0.000180811,0.00001761318,0.0000284798,0.999023,0.0001433748,0.000560692],"study_design_scores_gemma":[0.000004566684,0.00000577987,0.00005979114,0.0000156687,0.000001387105,0.00004345743,0.0003940435,0.0002099302,0.0001320885,0.9871564,0.01197155,0.000005438132],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.0860583,0.007294521,0.2353116,0.05575736,0.001697979,0.00006510464,0.0003164909,0.0003885909,0.61311],"genre_scores_gemma":[0.9342831,0.002659175,0.03286699,0.005117779,0.0009701663,0.0001767365,0.0001926112,0.0001580964,0.02357533],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.007053856,"threshold_uncertainty_score":0.01921785,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1678017929813729,"score_gpt":0.2382266001947064,"score_spread":0.07042480721333355,"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."}}