{"id":"W2950558280","doi":"10.1093/imrn/rnaa309","title":"A Characteristic Map for the Symmetric Space of Symplectic Forms Over a Finite Field","year":2020,"lang":"en","type":"article","venue":"International Mathematics Research Notices","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Stanley symmetric function; Schur polynomial; Symplectic group; Symmetric function; Symmetric group; Isomorphism (crystallography); Ring of symmetric functions; Complete homogeneous symmetric polynomial; Pure mathematics; Symplectic geometry; Symmetric space; Symplectic representation; Finite field; Symplectic vector space; Field (mathematics); Representation theory of the symmetric group; Representation theory; Combinatorics; Moment map; Macdonald polynomials; Classical orthogonal polynomials; Orthogonal polynomials","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaresearch"],"consensus_categories":[],"category_scores_codex":[0.0009935719,0.0001547132,0.0002887814,0.000299116,0.0001474239,0.0001123223,0.0008644548,0.00007434485,0.0003641409],"category_scores_gemma":[0.02292245,0.0001028607,0.000156827,0.0006239149,0.0001088509,0.0002068921,0.0002617579,0.0003369043,0.00005520254],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004940542,"about_ca_system_score_gemma":0.00006185186,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000004296257,"about_ca_topic_score_gemma":0.000008465499,"domain_scores_codex":[0.9978245,0.00004587037,0.0004918366,0.0002412875,0.001046989,0.0003495117],"domain_scores_gemma":[0.9753328,0.02340175,0.0002819979,0.0003100005,0.0005718318,0.0001016301],"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":[0.0001559032,0.0002976233,0.0002049775,0.001814334,0.0003278686,0.000006649165,0.002088274,0.00007281419,0.0008967759,0.9894305,0.002870021,0.001834238],"study_design_scores_gemma":[0.0006914823,0.000412074,0.0001848935,0.0002425771,0.00006585399,0.000003504302,0.001124885,0.1173429,0.004179083,0.8711641,0.004395562,0.0001930874],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.4244511,0.000547123,0.5240143,0.0386534,0.0008427891,0.003080139,0.0002945265,0.0001589129,0.007957776],"genre_scores_gemma":[0.9869128,0.00004191313,0.01177227,0.0002181068,0.0002906283,0.0001378806,0.000007548368,0.00003607028,0.0005828117],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.5624617,"threshold_uncertainty_score":0.9853079,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.175691325506354,"score_gpt":0.4486004635409778,"score_spread":0.2729091380346238,"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."}}