{"id":"W2979887322","doi":"10.4213/tm4014","title":"Многочлен объема регулярных полупростых многообразий Хессенберга и многогранник Гельфанда-Цетлина","year":2019,"lang":"ru","type":"article","venue":"Труды Математического института им Стеклова","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"McMaster University","funders":"Japan Society for the Promotion of Science; National Research Foundation of Korea; Natural Sciences and Engineering Research Council of Canada; Canada Research Chairs","keywords":"Lambda; Flag (linear algebra); Physics; Combinatorics; Mathematics; Algebra over a field; Pure mathematics; Quantum mechanics","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":[0.001485156,0.0008006899,0.000478419,0.001898408,0.003059854,0.007526875,0.001215326,0.001712575,0.0748416],"category_scores_gemma":[0.005234443,0.0007272945,0.0007352189,0.001704099,0.003640004,0.005777496,0.003247252,0.002466866,0.03101758],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002785894,"about_ca_system_score_gemma":0.004575356,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.004809378,"about_ca_topic_score_gemma":0.005261109,"domain_scores_codex":[0.9969705,0.0004930085,0.0001367291,0.000664077,0.001344132,0.0003914995],"domain_scores_gemma":[0.9970754,0.0005194948,0.0002254273,0.0005740634,0.001239292,0.0003662891],"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":[0.0001434878,0.00008982079,0.002079437,0.0003479871,0.00003644543,0.0003851832,0.002475216,0.001004611,0.008425901,0.8653913,0.0245571,0.09506341],"study_design_scores_gemma":[0.0000424687,0.00006762827,0.003336588,0.0002493508,0.00005240191,0.0005714726,0.002677828,0.00202262,0.01027269,0.3005459,0.6800624,0.00009867077],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.03136196,0.003096693,0.1077303,0.006930839,0.001172778,0.0002028812,0.001372638,0.001191933,0.8469399],"genre_scores_gemma":[0.4726269,0.005843789,0.1437919,0.001808708,0.0008011166,0.0006756905,0.002195344,0.001810306,0.3704463],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.0748416,"threshold_uncertainty_score":0.2503701,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01527679895735715,"score_gpt":0.2861938706730813,"score_spread":0.2709170717157241,"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."}}