{"id":"W4315491792","doi":"10.4153/s0008439523000024","title":"Quasisymmetric harmonics of the exterior algebra","year":2023,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","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":"Mathematics; Quotient; Subalgebra; Ideal (ethics); Polynomial ring; Combinatorics; Quotient ring; Basis (linear algebra); Commutative property; Discrete mathematics; Polynomial; Algebra over a field; Pure mathematics; Commutative ring; Mathematical analysis; Geometry","routes":{"ca_aff":true,"ca_fund":true,"ca_venue":true,"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":[0.0005364469,0.0002485993,0.0003510848,0.000602301,0.0007249874,0.0009286573,0.0004702631,0.0002102559,0.006274316],"category_scores_gemma":[0.0006844247,0.0001172865,0.0002832359,0.000323467,0.001688039,0.001509991,0.0007783374,0.000592438,0.0006957584],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006502976,"about_ca_system_score_gemma":0.000530227,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001109555,"about_ca_topic_score_gemma":0.0009570172,"domain_scores_codex":[0.9995608,0.00008504513,0.00001634488,0.00005917018,0.0001795233,0.00009915644],"domain_scores_gemma":[0.9995857,0.00006208521,0.00007907341,0.0000593683,0.000112377,0.0001014194],"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":[0.00002193805,0.00001723529,0.0001495475,0.00001252286,0.000002312681,0.00006158672,0.00009376471,0.0007406496,0.002136811,0.9932321,0.0003564779,0.003174982],"study_design_scores_gemma":[0.00001783486,0.00007883974,0.0007455302,0.000009273142,0.00000576367,0.0002176669,0.0001274011,0.01812783,0.002757674,0.9714099,0.006479184,0.0000231055],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8083315,0.0005591466,0.08041547,0.0005467407,0.0003316047,0.00003419095,0.0001443022,0.0001534524,0.1094836],"genre_scores_gemma":[0.9810383,0.0001836873,0.005488113,0.00007429357,0.0002004777,0.00001117686,0.00007627722,0.00003053675,0.01289715],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006274316,"threshold_uncertainty_score":0.02098966,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03511116491597226,"score_gpt":0.2660191493982186,"score_spread":0.2309079844822463,"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."}}