{"id":"W3020032508","doi":"10.1080/03081087.2020.1754750","title":"Local derivations on Witt algebras","year":2020,"lang":"en","type":"article","venue":"Linear and Multilinear Algebra","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":21,"is_retracted":false,"has_abstract":true,"ca_institutions":"Wilfrid Laurier University","funders":"Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Rank (graph theory); Witt algebra; Mathematics; Algebra over a field; Derivation; Pure mathematics; Witt vector; Virasoro algebra; Algebra representation; Combinatorics; Cellular 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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0001111278,0.0002848019,0.0003364337,0.00005852431,0.0001724866,0.00003249967,0.0002107938,0.0001492139,0.0002521484],"category_scores_gemma":[0.0009043778,0.0002591182,0.00009531195,0.0002330934,0.0001915385,0.0001296043,0.0001361247,0.0004157736,0.0002379122],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002350176,"about_ca_system_score_gemma":0.00003624814,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000004846328,"about_ca_topic_score_gemma":0.000005668246,"domain_scores_codex":[0.998443,0.00005118727,0.0003935082,0.0004900997,0.0002878948,0.0003342842],"domain_scores_gemma":[0.9987151,0.0004287827,0.0001012134,0.0003678542,0.00008327572,0.0003037765],"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":[0.0002190163,0.0003660834,0.0006351459,0.0002600447,0.0001467956,0.00006620455,0.002662405,0.0001664517,0.002012215,0.9578008,0.004473798,0.03119102],"study_design_scores_gemma":[0.006941614,0.001405133,0.001723169,0.0002261426,0.0002555534,0.00006362973,0.001655517,0.1486171,0.09137988,0.6086023,0.1368882,0.002241767],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7003375,0.0001841264,0.2869045,0.006198066,0.0002942248,0.0007548124,0.00005300588,0.0007746388,0.00449912],"genre_scores_gemma":[0.8982202,0.00003923194,0.09666036,0.003855216,0.0005769222,0.00002377194,0.00002358168,0.00008554343,0.0005151852],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3491985,"threshold_uncertainty_score":0.9999861,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06272086822228629,"score_gpt":0.3298366478094338,"score_spread":0.2671157795871475,"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."}}