{"id":"W2011835009","doi":"10.1007/s00209-011-0878-7","title":"On the geometry and quantization of symplectic Howe pairs","year":2011,"lang":"de","type":"article","venue":"Mathematische Zeitschrift","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":15,"is_retracted":false,"has_abstract":false,"ca_institutions":"Saint Paul University","funders":"","keywords":"Mathematics; Moment map; Symplectic geometry; Geometric quantization; Symplectic manifold; Symplectic representation; Symplectomorphism; Pure mathematics; Lie group; Hamiltonian (control theory); Orbit (dynamics); Canonical quantization; Algebra over a field; Quantum; 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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001128846,0.0005247446,0.0007996678,0.001727546,0.003024995,0.003683881,0.0007970011,0.001386373,0.008033416],"category_scores_gemma":[0.002365323,0.0004707979,0.0006232107,0.001060045,0.004585627,0.005949806,0.003095116,0.002541525,0.0008153641],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001092934,"about_ca_system_score_gemma":0.0005885212,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001236149,"about_ca_topic_score_gemma":0.00109293,"domain_scores_codex":[0.9994129,0.0002113458,0.00002900867,0.00008983985,0.0001531548,0.00010375],"domain_scores_gemma":[0.9994911,0.0001395764,0.00006812881,0.00008424234,0.00009889201,0.0001179743],"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":[0.000005223346,0.000003225021,0.0000325787,0.000006262423,0.000001458575,0.00001494029,0.0001376166,0.0001820727,0.0001099441,0.9982338,0.0003578323,0.0009149694],"study_design_scores_gemma":[0.000004448466,0.000004949634,0.00007587225,0.000003845181,9.654166e-7,0.00002640405,0.00009597382,0.0005431311,0.00004306401,0.9976198,0.001577176,0.000004323868],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4501309,0.007512758,0.111432,0.01128905,0.001571564,0.0001165618,0.0005760163,0.0002594973,0.4171116],"genre_scores_gemma":[0.9379811,0.002398785,0.01551117,0.0008612936,0.0007173166,0.00007354381,0.0002213278,0.0001199726,0.04211547],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.008033416,"threshold_uncertainty_score":0.02687448,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0485274317930567,"score_gpt":0.2662318597079819,"score_spread":0.2177044279149252,"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."}}