{"id":"W2069978912","doi":"10.1007/s11784-010-0027-7","title":"Moment polytopes, semigroup of representations and Kazarnovskii’s theorem","year":2010,"lang":"en","type":"preprint","venue":"Journal of Fixed Point Theory and Applications","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Toronto; McMaster University","funders":"","keywords":"Mathematics; Semigroup; Corollary; Polytope; Irreducible representation; Pure mathematics; Tensor product; Group (periodic table); Compact group; Combinatorics; Lie group; 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":[0.0009662745,0.0006291319,0.001285666,0.002140214,0.002403371,0.003090751,0.0009733778,0.001096222,0.007420919],"category_scores_gemma":[0.001960566,0.0004925423,0.001194323,0.001196922,0.003622171,0.003984675,0.002233458,0.002873945,0.0007370386],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001439008,"about_ca_system_score_gemma":0.0007858411,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007891825,"about_ca_topic_score_gemma":0.0004774259,"domain_scores_codex":[0.999378,0.0001473445,0.0000314888,0.0001440689,0.0001750534,0.0001240878],"domain_scores_gemma":[0.9987975,0.0005253581,0.0001866624,0.00009980108,0.0001595479,0.0002310777],"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":[0.00002009474,0.00001112337,0.00006174353,0.00001458416,0.000005252235,0.0000363806,0.00006617382,0.0004002477,0.0003194958,0.9971334,0.0006608933,0.001270582],"study_design_scores_gemma":[0.00001397136,0.0000101011,0.0001106956,0.000004314264,0.000003764289,0.00005268802,0.00003617308,0.002069765,0.000123834,0.9959688,0.001596906,0.000009054704],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4539669,0.006094001,0.3209708,0.009238912,0.001222963,0.0001014827,0.001251847,0.0004114017,0.2067417],"genre_scores_gemma":[0.9474145,0.001675349,0.01977658,0.0005212111,0.001256192,0.000148055,0.000390771,0.0001018962,0.02871543],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007420919,"threshold_uncertainty_score":0.02482545,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01728625485465697,"score_gpt":0.3229065724423097,"score_spread":0.3056203175876528,"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."}}