{"id":"W2203575115","doi":"10.1016/j.aim.2016.10.007","title":"A Hopf algebra of subword complexes","year":2016,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":42,"is_retracted":false,"has_abstract":false,"ca_institutions":"Fields Institute for Research in Mathematical Sciences; York University","funders":"York University; Natural Sciences and Engineering Research Council of Canada; Government of Canada","keywords":"Hopf algebra; Mathematics; Representation theory of Hopf algebras; Algebra over a field; Pure mathematics; Division algebra; Quasitriangular Hopf algebra; Filtered algebra","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":[0.0006925803,0.0007744483,0.0009010007,0.002488809,0.002043422,0.004226611,0.001013233,0.001088421,0.01196121],"category_scores_gemma":[0.001515559,0.000486417,0.0008024747,0.001881778,0.002489067,0.006572676,0.002339768,0.001796318,0.002018564],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001435052,"about_ca_system_score_gemma":0.0007659237,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001297863,"about_ca_topic_score_gemma":0.000807793,"domain_scores_codex":[0.9992827,0.0001276146,0.00004550628,0.0001682679,0.0002389298,0.0001370153],"domain_scores_gemma":[0.9991254,0.0002120136,0.000104387,0.00008097322,0.0002285767,0.0002487087],"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":[0.00001696223,0.00001182293,0.0001003931,0.00001981479,0.000006205293,0.00007801115,0.0002032237,0.0001984475,0.0009942363,0.9946097,0.0005036315,0.003257483],"study_design_scores_gemma":[0.000006871532,0.0000100151,0.00011089,0.000006698362,0.000006191841,0.00008148089,0.00009407435,0.001428992,0.0004532023,0.9939048,0.003886934,0.000009812639],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4623726,0.00391434,0.2534794,0.002622882,0.000992823,0.0001378338,0.0005673413,0.0005968285,0.275316],"genre_scores_gemma":[0.9170351,0.001328392,0.01889566,0.0005651828,0.0006710716,0.0001002371,0.0003970557,0.0001708955,0.06083625],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01196121,"threshold_uncertainty_score":0.04001427,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02386716086904989,"score_gpt":0.3109528620800478,"score_spread":0.2870857012109979,"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."}}