{"id":"W1822534309","doi":"10.1007/978-3-0348-0405-9_14","title":"The Tamari Lattice as it Arises in Quiver Representations","year":2012,"lang":"en","type":"book-chapter","venue":"Progress in mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of New Brunswick","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Quiver; Lattice (music); Mathematics; Partially ordered set; Pure mathematics; Algebra over a field; Combinatorics; Physics","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":[0.0005223241,0.0008599816,0.001100591,0.002202762,0.002671853,0.005988088,0.001096635,0.001833411,0.006498993],"category_scores_gemma":[0.0009437766,0.0006057638,0.0006642577,0.002567994,0.005178212,0.00613221,0.001777232,0.004299243,0.001798896],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001399653,"about_ca_system_score_gemma":0.000530041,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007543029,"about_ca_topic_score_gemma":0.00100163,"domain_scores_codex":[0.9995847,0.0001205724,0.00001846842,0.00005825067,0.0001490789,0.00006889767],"domain_scores_gemma":[0.9997738,0.00008001462,0.00002515866,0.00004094283,0.00003146761,0.00004864837],"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":[0.000004508534,0.00000522232,0.00001598749,0.000009028861,0.000001173155,0.00002116957,0.0001118034,0.000073537,0.0001664435,0.9963478,0.0009034119,0.002339956],"study_design_scores_gemma":[0.000003995,0.000005302305,0.00004145343,0.000008295448,0.000002004556,0.00008898294,0.00006285416,0.0004066712,0.0001140649,0.9915867,0.007673451,0.000006151979],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.1402555,0.0105455,0.0550459,0.004147275,0.001927861,0.00005598012,0.0002466383,0.0005151976,0.7872601],"genre_scores_gemma":[0.8330754,0.00595009,0.02221702,0.001118597,0.001941109,0.0001082169,0.0002921739,0.0004339248,0.1348634],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006498993,"threshold_uncertainty_score":0.02174127,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05743639483567924,"score_gpt":0.3468976774474081,"score_spread":0.2894612826117288,"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."}}