{"id":"W2527793589","doi":"10.3842/sigma.2017.063","title":"The Fock-Rosly Poisson Structure as Defined by a Quasi-Triangular r-Matrix","year":2017,"lang":"en","type":"article","venue":"Symmetry Integrability and Geometry Methods and Applications","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"","keywords":"Fock space; Mathematics; Pure mathematics; Matrix (chemical analysis); Poisson distribution; Mathematical physics; Algebra over a field; Physics; Quantum mechanics; Statistics; Materials science","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":["sts"],"consensus_categories":[],"category_scores_codex":[0.001688946,0.0003211626,0.0004738164,0.00007290998,0.002454076,0.000528916,0.0006339582,0.0003009476,0.00005725411],"category_scores_gemma":[0.00389725,0.0002108193,0.0001454756,0.0002608509,0.0005815828,0.0001518089,0.0002806217,0.0005121372,0.000002880196],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004067648,"about_ca_system_score_gemma":0.00004592875,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003681121,"about_ca_topic_score_gemma":0.00003550892,"domain_scores_codex":[0.9979857,0.000308224,0.0004748461,0.0006108117,0.0002514935,0.0003689851],"domain_scores_gemma":[0.9951131,0.002631984,0.0003613451,0.001513749,0.0001613133,0.0002184722],"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":[0.00002610298,0.00006850226,0.0007328311,0.00006190469,0.00006525354,1.922089e-7,0.00008394573,4.356145e-8,0.0005170902,0.8664171,0.00033392,0.1316931],"study_design_scores_gemma":[0.0003968743,0.00009419124,0.001026055,0.00001441936,0.00009735653,0.00001608361,0.0004398451,0.00006910596,0.001739815,0.9660097,0.02984986,0.0002466675],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8064335,0.006664093,0.1761324,0.006037761,0.0006431942,0.001989971,0.0002538406,0.0001659722,0.001679221],"genre_scores_gemma":[0.93332,0.0003055696,0.06502448,0.00009722375,0.0002332635,0.0001928639,0.00001344575,0.00003320505,0.0007799591],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1314465,"threshold_uncertainty_score":0.9988446,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02295916527159656,"score_gpt":0.3937317916605081,"score_spread":0.3707726263889115,"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."}}