{"id":"W3169192558","doi":"10.2140/involve.2022.15.775","title":"A local normal form for Hamiltonian actions ofcompact semisimple Poisson–Lie groups","year":2022,"lang":"en","type":"article","venue":"Involve a Journal of Mathematics","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo; McMaster University","funders":"Natural Sciences and Engineering Research Council of Canada; Canada Research Chairs; Universities Space Research Association; McMaster University","keywords":"Moment map; Symplectic geometry; Mathematics; Hamiltonian (control theory); Pure mathematics; Poisson algebra; Lie group; Poisson manifold; Symplectic manifold; Poisson bracket; Symplectomorphism; Mathematical physics; Lie algebra","routes":{"ca_aff":true,"ca_fund":true,"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":[],"consensus_categories":[],"category_scores_codex":[0.001628416,0.0002649569,0.000744376,0.0002783065,0.0005547609,0.0000328171,0.0006865571,0.0001466457,0.0008634114],"category_scores_gemma":[0.0006802935,0.0002370596,0.0005053111,0.000243345,0.0002006558,0.0001923199,0.0001972226,0.0007634173,0.0000110461],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002709626,"about_ca_system_score_gemma":0.0002776203,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000007595703,"about_ca_topic_score_gemma":0.00005170885,"domain_scores_codex":[0.9974916,0.0001322931,0.001165175,0.0001740697,0.0005142504,0.0005226356],"domain_scores_gemma":[0.996071,0.001988087,0.001094267,0.00041243,0.0002423782,0.0001918389],"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":[0.000550237,0.004901862,0.0004779376,0.001000093,0.001764375,0.000418248,0.03375467,0.000551231,0.001780065,0.8744757,0.07512722,0.005198333],"study_design_scores_gemma":[0.001773246,0.001509919,0.00004578252,0.00005949675,0.0003388464,0.003700856,0.01321132,0.001918369,0.001398129,0.9577879,0.01795047,0.0003055999],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6927364,0.0003218919,0.3017333,0.001947518,0.000899683,0.0006174715,0.0001105287,0.00007254315,0.001560611],"genre_scores_gemma":[0.951185,0.00002153665,0.04746054,0.0004151921,0.0002542904,0.00007785331,0.000007575381,0.000063595,0.000514367],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2584486,"threshold_uncertainty_score":0.966701,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06747673897063443,"score_gpt":0.3336327149702819,"score_spread":0.2661559759996475,"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."}}