{"id":"W4362554482","doi":"10.1007/s00031-022-09787-9","title":"Modular Tensor Categories, Subcategories, and Galois Orbits","year":2023,"lang":"en","type":"article","venue":"Transformation Groups","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Alberta","funders":"Natural Science Research of Jiangsu Higher Education Institutions of China; Natural Science Foundation of Jiangsu Province; National Natural Science Foundation of China; Pacific Institute for the Mathematical Sciences; National Science Foundation","keywords":"Mathematics; Pure mathematics; Galois module; Tensor (intrinsic definition); Modular design; Tensor product; Algebra over a field; Galois group; Differential Galois theory; Transitive relation; Grading (engineering); Galois cohomology; Computer science; Combinatorics; Programming language","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":[],"consensus_categories":[],"category_scores_codex":[0.000241718,0.0001849822,0.0002324696,0.0001216851,0.0002046243,0.00006961048,0.0001289889,0.0001240764,0.00005428232],"category_scores_gemma":[0.00004655695,0.0001603937,0.00005612456,0.0004431479,0.00005520114,0.0003890996,0.00002175408,0.0001424766,0.00004420189],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003365593,"about_ca_system_score_gemma":0.00002791392,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00005388948,"about_ca_topic_score_gemma":0.00001559571,"domain_scores_codex":[0.99884,0.00003526316,0.0003437886,0.0001860747,0.0003007495,0.0002940769],"domain_scores_gemma":[0.9994411,0.00009881741,0.00006558498,0.0002172027,0.00008159292,0.00009567421],"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":[0.00002175372,0.0000117928,0.0001011839,0.0001320282,0.00002559694,0.000002893117,0.004829645,0.00001521737,0.0001531038,0.9924304,0.0007483037,0.001528111],"study_design_scores_gemma":[0.0007122487,0.00004843265,0.002042966,0.00001076408,0.00003457256,0.00001524494,0.000817062,0.001808756,0.000666565,0.9910766,0.002547047,0.0002197103],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9873811,0.00007910011,0.008828293,0.0006948274,0.0005042964,0.000388863,0.00001354493,0.0005049718,0.00160498],"genre_scores_gemma":[0.9990928,0.0001056083,0.0002333658,0.00006283159,0.0001067398,0.00004289041,0.00006353487,0.00003026985,0.0002619546],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01171168,"threshold_uncertainty_score":0.6540667,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03587628376501241,"score_gpt":0.2779699164759974,"score_spread":0.242093632710985,"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."}}