{"id":"W2115461190","doi":"10.48550/arxiv.0711.3799","title":"Descent constructions for central extensions of infinite dimensional Lie algebras","year":2007,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Alberta","funders":"","keywords":"Descent (aeronautics); Mathematics; Pure mathematics; Automorphism; Affine transformation; Lie algebra; Affine Lie algebra; Simple (philosophy); Non-associative algebra; Algebra over a field; Construct (python library); Lie conformal algebra; Computer science; Physics; Current 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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009412958,0.0004704139,0.000450491,0.00122986,0.001171543,0.0016935,0.0006280455,0.0004794503,0.001901584],"category_scores_gemma":[0.00131003,0.0003022161,0.0007193842,0.0005639306,0.002250702,0.002443782,0.002573375,0.001612532,0.0003878854],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006322905,"about_ca_system_score_gemma":0.0003142554,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000216414,"about_ca_topic_score_gemma":0.0003709882,"domain_scores_codex":[0.9995787,0.0001355483,0.00002512316,0.00005489595,0.0001226474,0.00008317579],"domain_scores_gemma":[0.9993572,0.0001467317,0.00007878048,0.0001030058,0.0001028995,0.0002113872],"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":[0.0000354574,0.00003948583,0.0004590615,0.0000241121,0.000006958983,0.0003057939,0.0007014814,0.001165054,0.004717649,0.9878198,0.0002974594,0.004427759],"study_design_scores_gemma":[0.00003246949,0.00008576103,0.0004153713,0.00002178128,0.00001043198,0.0004588523,0.0002638348,0.009442913,0.005201662,0.978815,0.00522729,0.00002476397],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8168228,0.0003738692,0.1587856,0.0003464172,0.0001854457,0.00005539573,0.00008953203,0.0002775331,0.02306342],"genre_scores_gemma":[0.971933,0.0001461979,0.02153707,0.000066473,0.00006802977,0.00003712649,0.00007839682,0.00005250239,0.00608118],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.001901584,"threshold_uncertainty_score":0.006361485,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1018239818003311,"score_gpt":0.3342533583863935,"score_spread":0.2324293765860624,"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."}}