{"id":"W7100435062","doi":"","title":"Poisson brackets and structure of nongraded Hamiltonian Lie algebras related to locally-finite derivations (to Appear in Canadian J. Math.)","year":2003,"lang":"en","type":"article","venue":"","topic":"Axial and Atropisomeric Chirality Synthesis","field":"Chemistry","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Lie algebra; Poisson bracket; Adjoint representation of a Lie algebra; Cohomology; Lie conformal algebra; Algebra over a field; Representation of a Lie group; Isomorphism (crystallography); Killing form","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":false,"about_ca":true,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006134307,0.0003441138,0.0004366389,0.001386348,0.001078347,0.001418465,0.0005886604,0.0004576005,0.004882115],"category_scores_gemma":[0.001142919,0.0002306925,0.0003685877,0.001021504,0.002371114,0.002100255,0.001092228,0.0009448148,0.0004743559],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001171903,"about_ca_system_score_gemma":0.0006545983,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001483004,"about_ca_topic_score_gemma":0.001071781,"domain_scores_codex":[0.999678,0.00008677212,0.00001616958,0.00006123614,0.0001090469,0.00004872412],"domain_scores_gemma":[0.9995967,0.00008620931,0.0001076761,0.00003011557,0.00009262529,0.0000867644],"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":[0.000009584088,0.00001525459,0.0003428564,0.00001971793,0.000007325718,0.0000948708,0.0002853806,0.001055548,0.001398045,0.992152,0.000434695,0.00418483],"study_design_scores_gemma":[0.00000711004,0.00002379035,0.0005713127,0.000006337596,0.000004760953,0.00011484,0.0001012503,0.006351177,0.0007104804,0.9906006,0.001497077,0.00001137053],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8547185,0.002761201,0.07985562,0.001684763,0.0003098061,0.00005936393,0.0001852249,0.00009718221,0.06032838],"genre_scores_gemma":[0.9752067,0.0007412852,0.0103228,0.0001508845,0.0001815544,0.00003065979,0.00008530891,0.00002212435,0.01325872],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004882115,"threshold_uncertainty_score":0.01633233,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.006449709289550683,"score_gpt":0.212936884200575,"score_spread":0.2064871749110243,"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."}}