{"id":"W1991419242","doi":"10.1016/j.geomphys.2008.03.002","title":"Integration over the Pauli quantum group","year":2008,"lang":"en","type":"article","venue":"Journal of Geometry and Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":36,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Ottawa","funders":"","keywords":"Mathematics; Pauli matrices; Pauli exclusion principle; Group (periodic table); Diagonal; Pure mathematics; Quantum group; Algebra over a field; Mathematical physics; Quantum mechanics; Physics; Geometry","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001874148,0.00008069933,0.000166387,0.00002052866,0.0001392532,0.0000211916,0.0001071915,0.00004237094,0.0000195328],"category_scores_gemma":[0.00008020002,0.0000445451,0.0000907915,0.0001582733,0.00005360612,0.0001541932,0.00002326909,0.0002367938,7.071329e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001197643,"about_ca_system_score_gemma":0.00001813091,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000004001355,"about_ca_topic_score_gemma":3.995443e-7,"domain_scores_codex":[0.9993832,0.00003776621,0.0002181374,0.00005087757,0.000226083,0.00008392296],"domain_scores_gemma":[0.9992958,0.0002361861,0.0002480563,0.0001033488,0.00007737939,0.00003921617],"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":[0.00004492117,0.0000716673,0.0006859097,0.00001510909,0.00006523265,0.000009335209,0.0009046714,0.000008334629,0.0002469538,0.9901436,0.00278541,0.005018845],"study_design_scores_gemma":[0.0003151304,0.0001510081,0.005818036,0.00002128741,0.00003399625,0.0001075934,0.000123309,0.000205357,0.0002635639,0.9922479,0.0006504898,0.0000623353],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9833668,0.000221836,0.01559149,0.0001018772,0.0005432652,0.00003787037,8.968043e-7,0.000004365247,0.0001315714],"genre_scores_gemma":[0.9985172,0.0001358505,0.0004104988,0.0000944225,0.0007989947,4.582682e-7,3.471947e-7,0.000007351618,0.00003483685],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01518099,"threshold_uncertainty_score":0.1816496,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03460028411854488,"score_gpt":0.2787521109754106,"score_spread":0.2441518268568657,"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."}}