{"id":"W4413575656","doi":"10.1016/j.disc.2025.114741","title":"Murnaghan–Nakayama rules for symplectic, orthogonal and orthosymplectic Schur functions","year":2025,"lang":"en","type":"article","venue":"Discrete Mathematics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Symplectic geometry; Symplectic matrix; Algebra over a field; Combinatorics; Pure mathematics; Symplectic representation; Moment map","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001133343,0.000422504,0.0004180328,0.001454973,0.001275145,0.001794313,0.0009259229,0.0005973115,0.004655598],"category_scores_gemma":[0.002420457,0.000357773,0.0006923216,0.0005427439,0.00226912,0.002329309,0.001411516,0.001796837,0.001675858],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000547285,"about_ca_system_score_gemma":0.0005209781,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000780011,"about_ca_topic_score_gemma":0.001599776,"domain_scores_codex":[0.9988918,0.000169206,0.0000981082,0.0001635769,0.000513488,0.0001638556],"domain_scores_gemma":[0.9991323,0.0002253216,0.00009444719,0.0001753185,0.0002737532,0.00009893384],"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":[0.00002024965,0.00001872879,0.000273485,0.00003029067,0.000004581409,0.0002665746,0.0003791817,0.0006520469,0.003786738,0.9803329,0.001190916,0.01304432],"study_design_scores_gemma":[0.00002258366,0.00005402699,0.000761431,0.00003963136,0.00001510535,0.0008030018,0.000236451,0.01026661,0.0152893,0.9408264,0.03162984,0.00005566571],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3290263,0.0009644973,0.4255913,0.0008811315,0.00102201,0.0003126893,0.0003103735,0.0006034703,0.2412882],"genre_scores_gemma":[0.798627,0.0007577037,0.1567853,0.0005139716,0.0002958617,0.0002984326,0.0002158673,0.0005001908,0.04200573],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004655598,"threshold_uncertainty_score":0.01557451,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02962042070452087,"score_gpt":0.3373833707304011,"score_spread":0.3077629500258802,"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."}}