{"id":"W2001975133","doi":"10.5539/jmr.v4n1p41","title":"Supersymmetric Lie Algebra","year":2012,"lang":"en","type":"article","venue":"Journal of Mathematics Research","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Semisimple Lie algebra; Graded Lie algebra; Lie conformal algebra; Affine Lie algebra; Fundamental representation; Pure mathematics; Algebra over a field; Real form; Simple Lie group; Lie algebra; Lie superalgebra; Adjoint representation; Current algebra; Weight","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaresearch"],"consensus_categories":[],"category_scores_codex":[0.009071542,0.0001797172,0.0005070317,0.001049051,0.0001671724,0.00007286453,0.0007929049,0.0001519406,0.000489107],"category_scores_gemma":[0.01103404,0.000137578,0.0002141577,0.001037956,0.000177311,0.0005424651,0.0002518797,0.001283881,0.0002259168],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002648333,"about_ca_system_score_gemma":0.0001383725,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001056023,"about_ca_topic_score_gemma":7.061983e-7,"domain_scores_codex":[0.9955726,0.0002706536,0.0009849281,0.0001161321,0.002200982,0.0008547364],"domain_scores_gemma":[0.9929235,0.004696249,0.0004273801,0.0005612324,0.0009810519,0.0004106116],"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":[0.00001411996,0.001277008,0.0007322379,0.000396099,0.0001218746,0.00003545067,0.003031058,6.342951e-7,0.001192097,0.9729674,0.01726387,0.002968113],"study_design_scores_gemma":[0.0004984414,0.0001823073,0.0001438934,0.0001666398,0.00003811776,0.0004612145,0.002722134,0.00003721735,0.006184912,0.98046,0.008938145,0.0001669649],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9366348,0.002094662,0.03082953,0.0008298256,0.0008715937,0.000417391,0.000003660954,0.00004788256,0.02827059],"genre_scores_gemma":[0.6674752,0.0002036178,0.3290505,0.00003071562,0.001253373,0.000007374655,3.398862e-7,0.00007581364,0.001903168],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2982209,"threshold_uncertainty_score":0.9972965,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.2887625281117664,"score_gpt":0.483738907665793,"score_spread":0.1949763795540266,"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."}}