{"id":"W4409146582","doi":"10.1002/jcd.21981","title":"On the Terwilliger Algebra of the Group Association Scheme of the Symmetric Group Sym(7) $\\text{Sym}(7)$","year":2025,"lang":"en","type":"article","venue":"Journal of Combinatorial Designs","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Fields Institute for Research in Mathematical Sciences; University of Regina","funders":"","keywords":"Mathematics; Association scheme; Group (periodic table); Symmetric group; Scheme (mathematics); Combinatorics; Algebra over a field; Pure mathematics; Chemistry; Organic chemistry","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":[0.0009018673,0.0004769824,0.0007295426,0.001893333,0.001591949,0.002201106,0.0007432993,0.0006801245,0.009243876],"category_scores_gemma":[0.001831305,0.0003064385,0.0007147667,0.0009699612,0.00325276,0.002950664,0.001608111,0.001463072,0.001305212],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00113282,"about_ca_system_score_gemma":0.001027636,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00170374,"about_ca_topic_score_gemma":0.001384791,"domain_scores_codex":[0.9992505,0.000168305,0.00003436604,0.0001166966,0.0001989294,0.0002312744],"domain_scores_gemma":[0.9986845,0.0003630764,0.0003085404,0.0001311895,0.0001983111,0.0003143706],"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":[0.00003556049,0.00002164604,0.0002213137,0.00001319255,0.000004205147,0.00005628668,0.0001943837,0.001384319,0.001261592,0.9932525,0.0003799309,0.003175153],"study_design_scores_gemma":[0.00001721906,0.00004991574,0.0003260271,0.00001286432,0.000004153859,0.00009188206,0.0001114229,0.008528452,0.001588513,0.9869888,0.0022519,0.00002892742],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8906853,0.0003298461,0.07081831,0.0005893948,0.0001657987,0.00006245435,0.0002352356,0.0001033483,0.03701032],"genre_scores_gemma":[0.9727007,0.0002603057,0.01343274,0.0001852978,0.0001975802,0.00005796838,0.0002716821,0.0000457302,0.01284801],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.009243876,"threshold_uncertainty_score":0.03092384,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03970540340867535,"score_gpt":0.3046826059921753,"score_spread":0.2649772025834999,"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."}}