{"id":"W2289895387","doi":"10.4153/cmb-2014-003-0","title":"On Semisimple Hopf Algebras of Dimension <i>pq</i><sup><i>n</i></sup>","year":2014,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Government of Jiangsu Province; China Postdoctoral Science Foundation; National Natural Science Foundation of China; Jiangsu Planned Projects for Postdoctoral Research Funds; National Science Foundation","keywords":"Mathematics; Hopf algebra; Algebraically closed field; Dimension (graph theory); Prime (order theory); Pure mathematics; Algebra over a field; Order (exchange); Field (mathematics); Quasitriangular Hopf algebra; Quantum group; Discrete mathematics; Combinatorics; Division algebra; Algebra representation","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"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":[0.0007509094,0.0003232737,0.0003314483,0.001036312,0.001208577,0.001180748,0.0003799853,0.0002875945,0.003145194],"category_scores_gemma":[0.0007796238,0.000204432,0.0004234508,0.0005068934,0.002871938,0.001849707,0.001217193,0.0005793982,0.0003623124],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008369513,"about_ca_system_score_gemma":0.0004546018,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006817426,"about_ca_topic_score_gemma":0.0008501804,"domain_scores_codex":[0.9996444,0.00007873056,0.00002485119,0.00004545074,0.0001355266,0.00007105283],"domain_scores_gemma":[0.9991486,0.000220319,0.0002018376,0.00007621881,0.0001609793,0.0001919605],"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":[0.00006040497,0.00004110499,0.0009505303,0.00004549751,0.00001224506,0.0002764554,0.0008374241,0.001140154,0.005751115,0.9860557,0.0003982769,0.004430939],"study_design_scores_gemma":[0.00002824093,0.00008735947,0.001056234,0.00001971664,0.0000120269,0.000318787,0.0003594418,0.004930327,0.004495802,0.9857939,0.002880675,0.00001758438],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9212936,0.0005174212,0.03463516,0.0003554215,0.00008049163,0.00003017144,0.00006001085,0.00005797064,0.04296971],"genre_scores_gemma":[0.9938399,0.0001237166,0.002723864,0.0000434778,0.00006345119,0.000008351107,0.0000441576,0.000003978431,0.003149115],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003145194,"threshold_uncertainty_score":0.01052171,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01343050294908631,"score_gpt":0.235838069929859,"score_spread":0.2224075669807726,"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."}}