{"id":"W4403192865","doi":"10.1112/jlms.13007","title":"The excedance quotient of the Bruhat order, quasisymmetric varieties, and Temperley–Lieb algebras","year":2024,"lang":"en","type":"article","venue":"Journal of the London Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"York University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Quotient; Bruhat order; Mathematics; Order (exchange); Pure mathematics; Combinatorics; Algebra over a field; Weyl group; Business","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001563876,0.0002371873,0.0004765784,0.00002533054,0.0004180829,0.0001933514,0.0009284993,0.0001615947,0.00004326778],"category_scores_gemma":[0.001383388,0.00009310584,0.0008132733,0.000699282,0.0004378098,0.0001195951,0.0003879725,0.0007443978,0.000002738729],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001119303,"about_ca_system_score_gemma":0.0001681443,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000004737386,"about_ca_topic_score_gemma":0.000001535998,"domain_scores_codex":[0.9973708,0.0002029189,0.0009017229,0.0001682655,0.001059018,0.0002972364],"domain_scores_gemma":[0.9959832,0.002552291,0.0005663315,0.0005726457,0.0002342727,0.00009120946],"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":[0.00001970973,0.00009398605,0.00008602314,0.0004777599,0.0003162857,0.00000140607,0.002164565,0.000009971447,0.0001528707,0.9837054,0.01174498,0.00122701],"study_design_scores_gemma":[0.0003528462,0.00007763501,0.0002135695,0.0003841391,0.0002496712,0.0001438606,0.0007084295,0.001160134,0.0007934855,0.9930805,0.002716193,0.0001195328],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9622238,0.01161212,0.01048517,0.01027238,0.003834454,0.0007444613,0.000006892609,0.00004133895,0.0007793815],"genre_scores_gemma":[0.9942952,0.0006334363,0.003273825,0.0002068857,0.0003180007,0.000007007077,6.631961e-8,0.0000403436,0.001225237],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.03207139,"threshold_uncertainty_score":0.3796746,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01607784300671374,"score_gpt":0.2660606435129919,"score_spread":0.2499828005062782,"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."}}