{"id":"W2136402599","doi":"10.1007/s00208-007-0155-6","title":"Stable Grothendieck polynomials and K-theoretic factor sequences","year":2007,"lang":"en","type":"article","venue":"Mathematische Annalen","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":79,"is_retracted":false,"has_abstract":false,"ca_institutions":"Fields Institute for Research in Mathematical Sciences","funders":"","keywords":"Mathematics; Quiver; Schur polynomial; Grassmannian; Schubert polynomial; Macdonald polynomials; Generalization; Combinatorics; Difference polynomials; Mathematical proof; Orthogonal polynomials; Pure mathematics; Algebra over a field; Discrete mathematics; Mathematical analysis","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":[0.0009785127,0.001074505,0.0008639515,0.002576087,0.002739484,0.004116684,0.001040462,0.001299457,0.008636646],"category_scores_gemma":[0.00320657,0.000612182,0.000790538,0.003173408,0.005767343,0.006778623,0.00197825,0.004563022,0.001255086],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002570504,"about_ca_system_score_gemma":0.000896267,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001701479,"about_ca_topic_score_gemma":0.001710644,"domain_scores_codex":[0.9993855,0.0001374147,0.00002593572,0.0001330587,0.000153595,0.0001644819],"domain_scores_gemma":[0.9985754,0.000787904,0.0001954921,0.0001129907,0.000149254,0.000178858],"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":[0.00002680992,0.00001087622,0.0001053682,0.00001669556,0.000003644436,0.00003157652,0.0001665891,0.0003932729,0.0002611389,0.9962625,0.0004924445,0.002228995],"study_design_scores_gemma":[0.000009190985,0.000006018015,0.0001371742,0.000006182775,0.000004313961,0.00003722306,0.00005181759,0.0006602204,0.0002043726,0.9975814,0.001294554,0.0000074833],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6236518,0.007417516,0.119345,0.009401829,0.0008818688,0.00008500157,0.000746884,0.0003381274,0.2381319],"genre_scores_gemma":[0.9684415,0.002049028,0.008872712,0.0003743595,0.0005623662,0.00005404409,0.0002830542,0.00005516928,0.01930779],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.008636646,"threshold_uncertainty_score":0.02889246,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05545665095427875,"score_gpt":0.336221513485349,"score_spread":0.2807648625310702,"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."}}