{"id":"W2953557773","doi":"10.46298/dmtcs.6338","title":"Factorial Characters and Tokuyama's Identity for Classical Groups","year":2020,"lang":"en","type":"article","venue":"Discrete Mathematics & Theoretical Computer Science","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"Nankai University; Natural Sciences and Engineering Research Council of Canada; University of Tokyo; Wilfrid Laurier University","keywords":"Mathematics; Factorial; Symplectic geometry; Mathematical proof; Classical group; Combinatorics; Pure mathematics; Generating function; Identity (music); Lattice (music); Factorial experiment; Algebra over a field; Geometry; Mathematical analysis; Statistics; Lie group","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":[0.0004703919,0.0003386165,0.0003394048,0.0009703879,0.00154144,0.001358677,0.0004700889,0.0006124294,0.005264227],"category_scores_gemma":[0.001201866,0.0001589233,0.000460927,0.0004212955,0.002534341,0.003912176,0.001299544,0.001041346,0.0007522026],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009485789,"about_ca_system_score_gemma":0.0006793018,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000655666,"about_ca_topic_score_gemma":0.0006085305,"domain_scores_codex":[0.9996639,0.00006235032,0.00001749401,0.00005578503,0.0001172943,0.00008316132],"domain_scores_gemma":[0.9996517,0.00009081589,0.0000489105,0.00004949983,0.00008802597,0.00007108493],"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":[0.000004026598,0.00000365995,0.00005687401,0.000005505597,5.210181e-7,0.00003344966,0.0001072281,0.0001174061,0.0003847567,0.997546,0.0001680972,0.001572447],"study_design_scores_gemma":[0.000004973756,0.00001524583,0.0002386717,0.000007791145,0.000002166058,0.0001583018,0.00009678928,0.002559738,0.0007605574,0.989288,0.006855299,0.00001256837],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5719801,0.001270236,0.2152453,0.001869763,0.0006909777,0.0000691481,0.0001873416,0.0002666512,0.2084204],"genre_scores_gemma":[0.9531143,0.000379562,0.02466165,0.0002302397,0.0002902448,0.00004903115,0.00007569249,0.00006900178,0.02113018],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005264227,"threshold_uncertainty_score":0.01761055,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03286937093139549,"score_gpt":0.311670759752705,"score_spread":0.2788013888213095,"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."}}