{"id":"W2078409035","doi":"10.1016/j.jalgebra.2005.09.022","title":"Group actions on central simple algebras: A geometric approach","year":2005,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Algebraic group; Subalgebra; Equivariant map; Simple (philosophy); Pure mathematics; Algebraically closed field; Invariant (physics); Algebraic number; Invariant theory; Algebra over a field; Group (periodic table); Central simple algebra; Field (mathematics); Affine transformation; Simple group; Division algebra","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":[],"consensus_categories":[],"category_scores_codex":[0.00050681,0.0002660855,0.0004872464,0.0006656742,0.0001570162,0.00006730381,0.0004937905,0.000150827,0.0004671686],"category_scores_gemma":[0.001009171,0.0002228426,0.0003365554,0.0007865063,0.00006880076,0.0005350599,0.00007018083,0.0008193705,0.00005661183],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003653805,"about_ca_system_score_gemma":0.00007487545,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001388605,"about_ca_topic_score_gemma":0.000003941142,"domain_scores_codex":[0.9975175,0.00008964452,0.0008763878,0.0002299965,0.0007463418,0.0005400811],"domain_scores_gemma":[0.9977534,0.0006022846,0.0007503134,0.0004347458,0.0001698874,0.0002894144],"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":[0.0001456977,0.002020756,0.0005853164,0.00008630178,0.0003435623,0.00005202661,0.0006398627,0.0003289712,0.0006267285,0.9276052,0.02883979,0.03872577],"study_design_scores_gemma":[0.002514909,0.0007951378,0.003613903,0.00009101262,0.0002118641,0.000761282,0.0005296565,0.0002863675,0.004435926,0.9152725,0.07090504,0.0005824282],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8543092,0.0003608123,0.1325376,0.001073355,0.0006928329,0.0003138893,0.00001110784,0.0001072998,0.01059389],"genre_scores_gemma":[0.848179,0.00008483225,0.1490095,0.0004277703,0.001789218,0.000006016072,0.00000346115,0.000060779,0.0004393749],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.04206524,"threshold_uncertainty_score":0.9087259,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05766536985093115,"score_gpt":0.3278919634897776,"score_spread":0.2702265936388464,"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."}}