{"id":"W3204699878","doi":"10.1017/fms.2021.30","title":"Maximal indexes of flag varieties for spin groups","year":2021,"lang":"en","type":"article","venue":"Forum of Mathematics Sigma","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Alberta","funders":"National Science Foundation","keywords":"Flag (linear algebra); Spin (aerodynamics); Mathematics; Action (physics); Content (measure theory); Combinatorics; Physics; Pure mathematics; Mathematical analysis; Quantum mechanics; Algebra over a field; Thermodynamics","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":[0.002122413,0.0008388103,0.001438757,0.005139753,0.003795992,0.008042533,0.001436431,0.001230471,0.008036657],"category_scores_gemma":[0.007367014,0.0006441585,0.0009245384,0.002391293,0.004881327,0.007369138,0.004412786,0.002347649,0.0008608731],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002305599,"about_ca_system_score_gemma":0.0005689798,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006114268,"about_ca_topic_score_gemma":0.000472509,"domain_scores_codex":[0.9984035,0.0002608728,0.0001168426,0.0002802218,0.0004207782,0.0005177873],"domain_scores_gemma":[0.9957153,0.001867761,0.0005706784,0.000477797,0.0003581817,0.001010139],"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":[0.0001765399,0.00002795145,0.001952094,0.00006819739,0.00001412429,0.0001527541,0.0004854478,0.001024958,0.002589844,0.9862586,0.0008352943,0.006414133],"study_design_scores_gemma":[0.00002953964,0.00005181293,0.003071307,0.00006425719,0.00003607769,0.0003155923,0.0003389361,0.007094149,0.004737981,0.9799511,0.00426634,0.00004281754],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8785558,0.00150059,0.03376517,0.001226153,0.00019781,0.00005125967,0.0004469818,0.000343868,0.08391231],"genre_scores_gemma":[0.9935673,0.0003948151,0.002315365,0.00007139707,0.0002488614,0.00003840741,0.0002227777,0.00004832488,0.003092946],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.008042533,"threshold_uncertainty_score":0.02688527,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.030244869779798,"score_gpt":0.2913454308489417,"score_spread":0.2611005610691437,"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."}}