{"id":"W2982884077","doi":"10.1016/j.jalgebra.2020.09.035","title":"Finite-dimensional Hopf algebras over the Hopf algebra H:1 of Kashina","year":2020,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":false,"ca_institutions":"York University","funders":"Science and Technology Commission of Shanghai Municipality; Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Hopf algebra; Mathematics; Representation theory of Hopf algebras; Quasitriangular Hopf algebra; Pure mathematics; Algebra over a field; Division 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":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0006897316,0.000370631,0.0008538159,0.000124512,0.0001838644,0.00007126556,0.0009780499,0.000214889,0.0009365748],"category_scores_gemma":[0.001568873,0.0002361621,0.0006390212,0.0004841841,0.0002044727,0.0003316297,0.0002650748,0.0008236447,0.00001986597],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005533739,"about_ca_system_score_gemma":0.0002895642,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001165336,"about_ca_topic_score_gemma":0.000002242733,"domain_scores_codex":[0.9964653,0.0002111867,0.001358219,0.0002692904,0.001290001,0.0004059924],"domain_scores_gemma":[0.995833,0.001479584,0.001450944,0.0004667682,0.0004479657,0.0003217843],"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":[0.0005992511,0.0002660658,0.0009748713,0.0001741599,0.0007766454,0.0001107057,0.003500972,0.0003323044,0.001416599,0.9374912,0.0528609,0.00149629],"study_design_scores_gemma":[0.002107149,0.0007866789,0.002477314,0.0001406836,0.0003120955,0.0001239448,0.0003134495,0.0006706871,0.003384968,0.9861578,0.003171088,0.0003541454],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9915436,0.000845718,0.0008912598,0.004766962,0.001216022,0.000242037,0.00001162931,0.00003425442,0.0004484994],"genre_scores_gemma":[0.9947181,0.00005022909,0.001902624,0.001936686,0.001258269,0.000003080068,0.00000180585,0.00006442786,0.00006481445],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.04968981,"threshold_uncertainty_score":0.9999767,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03186666603898421,"score_gpt":0.2733402220976599,"score_spread":0.2414735560586757,"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."}}