{"id":"W1987613360","doi":"10.1016/j.jpaa.2004.12.002","title":"Transitive action of Lie algebras","year":2005,"lang":"en","type":"article","venue":"Journal of Pure and Applied Algebra","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"ca_institutions":"Dalhousie University","funders":"","keywords":"Transitive relation; Mathematics; Lie algebra; Action (physics); Subalgebra; Pure mathematics; Set (abstract data type); Vector space; Combinatorics; Algebra over a field; Discrete mathematics; Computer science; Physics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001592559,0.0009858819,0.001200354,0.002667781,0.002762454,0.003704506,0.001041469,0.001350224,0.007427683],"category_scores_gemma":[0.001784419,0.0006977035,0.001338291,0.001133222,0.004151904,0.004144002,0.002223265,0.002301262,0.001097178],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001815644,"about_ca_system_score_gemma":0.001133667,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002409704,"about_ca_topic_score_gemma":0.00221909,"domain_scores_codex":[0.999036,0.0002422494,0.00006372048,0.0001388594,0.0003220421,0.0001971967],"domain_scores_gemma":[0.9987423,0.0002768025,0.0001752889,0.0001800702,0.000239356,0.0003863068],"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":[0.0000104322,0.00001184188,0.00005500046,0.000008071605,0.000005186412,0.00003663,0.000154315,0.0001834428,0.0004741818,0.9978817,0.0003771504,0.0008019308],"study_design_scores_gemma":[0.00001057202,0.00001258109,0.00007744177,0.000004668857,0.000004967542,0.0000463796,0.00005156181,0.001130505,0.0002349101,0.9969341,0.001485427,0.000006858439],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5331689,0.002588759,0.1060568,0.004506323,0.00135814,0.0001539659,0.0004297164,0.0006945335,0.3510429],"genre_scores_gemma":[0.9440278,0.0009832248,0.01029339,0.0006380861,0.0007886157,0.00007726319,0.0003121663,0.0001530579,0.04272623],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007427683,"threshold_uncertainty_score":0.0248481,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03204683796504167,"score_gpt":0.3062208689107044,"score_spread":0.2741740309456628,"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."}}