{"id":"W4417339713","doi":"10.1007/s10801-025-01479-3","title":"Quiver semi-invariants and SAGBI bases","year":2025,"lang":"en","type":"article","venue":"Journal of Algebraic Combinatorics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada; Leverhulme Trust","keywords":"Quiver; Kronecker delta; Ring (chemistry); Dimension (graph theory); Basis (linear algebra); Moduli space; Flag (linear algebra); Young tableau; Series (stratigraphy)","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":[0.001371771,0.001038245,0.001656766,0.005562403,0.00435895,0.007587356,0.001998068,0.002325895,0.01404804],"category_scores_gemma":[0.00263578,0.001108034,0.001063396,0.003871777,0.004692031,0.008131752,0.003584354,0.004624524,0.002258223],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001942477,"about_ca_system_score_gemma":0.0007632606,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001225607,"about_ca_topic_score_gemma":0.00174404,"domain_scores_codex":[0.9990811,0.0002065188,0.00005513362,0.0001500302,0.0002590744,0.0002481255],"domain_scores_gemma":[0.9985857,0.000490813,0.0002340589,0.0001740803,0.0002297762,0.0002856362],"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":[0.00002518204,0.00003352635,0.000139221,0.00001174958,0.000005399074,0.00004826989,0.0001569613,0.0001345607,0.0002149206,0.9964291,0.0007864939,0.00201476],"study_design_scores_gemma":[0.000009216257,0.000007937413,0.0001666044,0.000006978851,0.00000686584,0.00005916086,0.00009454806,0.0006645861,0.0001592037,0.9976054,0.001211284,0.00000816942],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"methods","genre_scores_codex":[0.5604795,0.002663041,0.08009242,0.004241491,0.001250309,0.0001096751,0.0006654432,0.0009304088,0.3495678],"genre_scores_gemma":[0.9631891,0.0006257138,0.006682837,0.0006427548,0.0005297014,0.00007871356,0.0004579303,0.0001726287,0.02762075],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.01404804,"threshold_uncertainty_score":0.0469954,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01653825693022957,"score_gpt":0.2995624105191418,"score_spread":0.2830241535889122,"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."}}