{"id":"W2025104847","doi":"10.1112/s0024611500012338","title":"Derivations on Group Algebras","year":2000,"lang":"en","type":"article","venue":"Proceedings of the London Mathematical Society","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":21,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Manitoba","funders":"","keywords":"Mathematics; Group (periodic table); Unimodular matrix; Hausdorff space; Element (criminal law); Combinatorics; Subgroup; Conjugacy class; Group algebra; Group action; Discrete group; Pure mathematics; Cohomology; Normal subgroup; Algebra over a field","routes":{"ca_aff":true,"ca_fund":false,"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":[0.0003788853,0.00022816,0.0003483217,0.00001746181,0.0002238401,0.00003909464,0.0006397257,0.0001473522,0.001057279],"category_scores_gemma":[0.0006681959,0.0001531815,0.0004194469,0.0003547756,0.0002710946,0.0001638075,0.0001294568,0.0003618624,0.00009040264],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007642006,"about_ca_system_score_gemma":0.00001138211,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":6.037224e-7,"about_ca_topic_score_gemma":1.503338e-7,"domain_scores_codex":[0.9983124,0.00000593306,0.0005027434,0.0002773819,0.0005720158,0.0003295962],"domain_scores_gemma":[0.9988761,0.0004796384,0.0001564335,0.0002933476,0.0001144658,0.00008001796],"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":[0.000009763989,0.0002955949,0.0001424138,0.0003162027,0.00004975653,7.513453e-8,0.0007826064,7.927666e-7,0.002754742,0.98801,0.00660201,0.001036017],"study_design_scores_gemma":[0.0003240859,0.00004257062,0.0002034503,0.0001901862,0.00005099365,0.000007459848,0.000171903,0.0002277382,0.01578928,0.9812939,0.001530636,0.0001678252],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9571865,0.00001870716,0.0009745061,0.001700385,0.00005250332,0.0005446213,0.000005641037,0.0001757587,0.03934134],"genre_scores_gemma":[0.7591408,0.00005233909,0.2320238,0.001157689,0.0002485092,0.000127565,0.00000129928,0.0001109485,0.007136977],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2310493,"threshold_uncertainty_score":0.9998559,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02832509211608627,"score_gpt":0.2881470861655652,"score_spread":0.2598219940494789,"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."}}