{"id":"W2741277981","doi":"10.46298/dmtcs.3605","title":"Quasisymmetric Schur functions","year":2008,"lang":"fr","type":"article","venue":"Discrete Mathematics & Theoretical Computer Science","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":true,"ca_institutions":"Okanagan University College; University of British Columbia, Okanagan Campus; University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Mathematics; Schur's lemma; Schur algebra; Combinatorics; Schur's theorem; Schur polynomial; Symmetric function; Pure mathematics; Macdonald polynomials; Orthogonal polynomials; Jacobi polynomials; Classical orthogonal polynomials","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":[0.001011293,0.0006029719,0.000518598,0.001418003,0.001036602,0.001806229,0.0007613425,0.0004359531,0.008624887],"category_scores_gemma":[0.00138391,0.0002726226,0.0006796417,0.0006217248,0.001744361,0.002712995,0.001044145,0.001261426,0.00188651],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008120168,"about_ca_system_score_gemma":0.0007687103,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006167067,"about_ca_topic_score_gemma":0.0007609222,"domain_scores_codex":[0.9992363,0.0001396386,0.00003735176,0.0001084073,0.000309947,0.00016828],"domain_scores_gemma":[0.9991581,0.0001299954,0.0001007347,0.0001412829,0.0003255706,0.0001443061],"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":[0.00001752355,0.00001372331,0.0001593192,0.00002605499,0.000003222245,0.00006338651,0.00009297854,0.0006352597,0.00408665,0.9838923,0.0006804172,0.01032913],"study_design_scores_gemma":[0.00001502391,0.00008693758,0.0005113581,0.0000270795,0.000009105242,0.00044196,0.0001745643,0.01935029,0.01047199,0.9407092,0.02816524,0.00003728922],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2586115,0.001022073,0.6290477,0.0008055442,0.0007650961,0.0001720161,0.000445288,0.0004955809,0.1086352],"genre_scores_gemma":[0.8234786,0.001077439,0.1295799,0.0005921648,0.0006521874,0.0001578009,0.0004918905,0.0003126443,0.04365735],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.008624887,"threshold_uncertainty_score":0.02885312,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02841310466928626,"score_gpt":0.2894130763128236,"score_spread":0.2609999716435374,"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."}}