{"id":"W2462448635","doi":"10.1142/s1005386716000377","title":"Invariant Symmetric Bilinear Forms and Derivation Algebras of Unitary Lie Algebras","year":2016,"lang":"en","type":"article","venue":"Algebra Colloquium","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"York University; University of Alberta","funders":"","keywords":"Mathematics; Bilinear form; Unitary state; Pure mathematics; Symmetric bilinear form; Lie algebra; Invariant (physics); Associative property; Universal enveloping algebra; Lie conformal algebra; Algebra over a field; Mathematical 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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0006871272,0.0004244068,0.0006559062,0.0005609354,0.0001683416,0.00003697584,0.0004714273,0.0002820409,0.0002493242],"category_scores_gemma":[0.003448401,0.0003052364,0.0001411093,0.001209725,0.0003643564,0.0006597437,0.0003866135,0.000218664,0.00005416048],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001414366,"about_ca_system_score_gemma":0.0001692543,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001952422,"about_ca_topic_score_gemma":0.00004402579,"domain_scores_codex":[0.9970984,0.0001245318,0.0009723447,0.000616038,0.0005935642,0.0005951278],"domain_scores_gemma":[0.9959335,0.00191604,0.0006597167,0.0009554371,0.0003045369,0.0002307284],"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":[0.00006318328,0.0001737525,0.003581917,0.0001782974,0.0001272717,0.00001628467,0.000201804,3.075182e-7,0.01119295,0.9756284,0.0009914873,0.007844379],"study_design_scores_gemma":[0.001705507,0.0002962588,0.004650532,0.000189791,0.0001069609,0.00004558358,0.0001583631,0.00004202298,0.04339693,0.9474078,0.001519313,0.0004809166],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9757432,0.0003945522,0.01854861,0.001316203,0.0003407265,0.0007620588,0.00004386009,0.0002189557,0.002631858],"genre_scores_gemma":[0.9632118,0.0002774487,0.03476264,0.0003000642,0.0001882706,0.00006546505,0.00001255139,0.0001067964,0.001074944],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.03220398,"threshold_uncertainty_score":0.99994,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03065627483459991,"score_gpt":0.2819471777182969,"score_spread":0.251290902883697,"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."}}