{"id":"W2603743251","doi":"10.46298/dmtcs.2730","title":"Brauer-Schur functions","year":2009,"lang":"en","type":"article","venue":"Discrete Mathematics & Theoretical Computer Science","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Mathematics; Schur algebra; Schur's theorem; Schur's lemma; Schur complement; Schur polynomial; Schur product theorem; Pure mathematics; Schur decomposition; Eigenvalues and eigenvectors; Macdonald polynomials","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":[0.0005492113,0.0007505696,0.000523613,0.001727149,0.00098733,0.001882522,0.0006483754,0.0007154843,0.006164231],"category_scores_gemma":[0.001698594,0.000198827,0.0005293425,0.0009935697,0.001641707,0.002512066,0.0007663443,0.001242767,0.001677206],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000777096,"about_ca_system_score_gemma":0.0005761907,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004611993,"about_ca_topic_score_gemma":0.0003855092,"domain_scores_codex":[0.9995393,0.0001186396,0.00001323843,0.00006954536,0.0001595033,0.00009984824],"domain_scores_gemma":[0.999505,0.0001239974,0.00005908726,0.00007581848,0.0001372342,0.00009882541],"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":[0.00001146916,0.00001078699,0.0001042497,0.00001334958,0.000002358993,0.00002491583,0.00004693238,0.0007903833,0.001035474,0.9922482,0.0005429094,0.005168971],"study_design_scores_gemma":[0.00001208978,0.00004264646,0.0002827276,0.00001903234,0.000006400377,0.0002368885,0.0001034115,0.0282821,0.002560322,0.9590168,0.009416901,0.00002074098],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"other","genre_scores_codex":[0.367721,0.001999469,0.454437,0.001146955,0.0004831349,0.0001445497,0.0003158626,0.0005078478,0.1732442],"genre_scores_gemma":[0.9311709,0.0007518249,0.03871727,0.0002774051,0.0002896035,0.000115492,0.0002046468,0.0001302264,0.02834257],"genre_candidate":"other","genre_consensus":null,"teacher_disagreement_score":0.006164231,"threshold_uncertainty_score":0.02062136,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01744912151669169,"score_gpt":0.2814260985982305,"score_spread":0.2639769770815388,"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."}}