{"id":"W1551798684","doi":"10.1007/s10773-014-2444-7","title":"Dominant Weight Multiplicities in Hybrid Characters of B n , C n , F 4, G 2","year":2014,"lang":"en","type":"article","venue":"International Journal of Theoretical Physics","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Montréal; University of Windsor","funders":"Université de Montréal; Natural Sciences and Engineering Research Council of Canada; Mitacs; Centre de Recherches Mathématiques","keywords":"Mathematics; Pure mathematics; Character (mathematics); Invariant (physics); Simple (philosophy); Lie group; Simple Lie group; Combinatorics; Geometry; Mathematical physics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006229381,0.001025776,0.0004918118,0.003931477,0.001568788,0.002288293,0.0008738138,0.001111709,0.005136667],"category_scores_gemma":[0.002430716,0.0004729333,0.0006104533,0.0008763307,0.003240993,0.002836212,0.001944977,0.001252567,0.0005635569],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001022647,"about_ca_system_score_gemma":0.0004770253,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006743283,"about_ca_topic_score_gemma":0.0008511944,"domain_scores_codex":[0.9993675,0.0001344688,0.00003941352,0.0001245204,0.0001654384,0.0001685648],"domain_scores_gemma":[0.9987161,0.0003430514,0.000248857,0.0001025748,0.0001719087,0.0004175775],"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":[0.0002542628,0.00008020735,0.003177579,0.00009141361,0.0000297287,0.00119193,0.001029053,0.002052313,0.0140526,0.9667255,0.001147526,0.0101679],"study_design_scores_gemma":[0.00004528431,0.0001103615,0.003533497,0.00005013339,0.00002727041,0.001435795,0.000481804,0.02169057,0.008162693,0.9620064,0.002371271,0.00008498618],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9534476,0.000248479,0.02191175,0.0003255677,0.0001255253,0.00002217405,0.00009713822,0.0001943929,0.0236275],"genre_scores_gemma":[0.9912543,0.00008811226,0.003467505,0.00005670533,0.00007483649,0.00002339318,0.0000622452,0.00006106101,0.004911961],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005136667,"threshold_uncertainty_score":0.01718384,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01055663248456422,"score_gpt":0.2931433903460197,"score_spread":0.2825867578614555,"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."}}