{"id":"W2047924094","doi":"10.1007/s005740200002","title":"A rank-three condition for invariant (1, 2)-symplectic almost Hermitian structures on flag manifolds","year":2002,"lang":"en","type":"article","venue":"Bulletin of the Brazilian Mathematical Society New Series","topic":"Geometry and complex manifolds","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Symplectic geometry; Hermitian matrix; Mathematics; Invariant (physics); Lie group; Hermitian symmetric space; Pure mathematics; Flag (linear algebra); Symplectic group; Rank (graph theory); Cone (formal languages); Combinatorics; Hermitian manifold; Algebra over a field; Mathematical physics; Geometry","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":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0004080633,0.0004245103,0.0006573608,0.0000367855,0.0004838745,0.0001057236,0.0007497399,0.0002641093,0.01058554],"category_scores_gemma":[0.0009611427,0.0003051125,0.0008075985,0.0002685067,0.0003179458,0.00006647446,0.0001859505,0.000273943,0.000181248],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006628763,"about_ca_system_score_gemma":0.00003444239,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001646128,"about_ca_topic_score_gemma":0.00002927418,"domain_scores_codex":[0.9976157,0.0001027425,0.00073911,0.0004261056,0.0005813176,0.0005350445],"domain_scores_gemma":[0.9972713,0.001183201,0.0003808711,0.0008804526,0.0001113018,0.0001728789],"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":[0.0000775307,0.0002885517,0.00001859565,0.000988153,0.0002099125,0.000002146175,0.001109204,0.00001389591,0.000399956,0.6289831,0.3675368,0.0003721638],"study_design_scores_gemma":[0.001299298,0.0003711407,0.0003657543,0.0002808775,0.0002105091,0.00009461465,0.0006261255,0.0005390937,0.002856631,0.9521021,0.04084976,0.0004041347],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.496172,0.001204584,0.107625,0.2310014,0.002936531,0.01905523,0.001125772,0.002253376,0.1386261],"genre_scores_gemma":[0.7913158,0.00003321199,0.1496526,0.003273601,0.0008590014,0.0002807727,0.00002743568,0.000252792,0.05430478],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.326687,"threshold_uncertainty_score":0.9999401,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04009778759760652,"score_gpt":0.265988260163846,"score_spread":0.2258904725662395,"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."}}