{"id":"W3100710564","doi":"","title":"FOUR FAMILIES OF WEYL GROUP ORBIT FUNCTIONS OF B3 AND C3.","year":2016,"lang":"en","type":"article","venue":"","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Montréal","funders":"","keywords":"Mathematics; Lie group; Weyl group; Orbit (dynamics); Fourier transform; Pure mathematics; Symmetry group; Symmetry (geometry); Group (periodic table); Simple (philosophy); Special functions; Group theory; Lie algebra; Algebra over a field; Mathematical analysis; Physics; Quantum mechanics; 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":[0.00006689363,0.00006000155,0.0001512542,0.00006759914,0.00001956256,0.000001527409,0.00004298041,0.00003361077,0.0002766815],"category_scores_gemma":[0.0001807184,0.00003464032,0.00003471525,0.0001025114,0.00007602109,0.00007950603,0.0000387827,0.00002311886,0.000009478531],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000004299633,"about_ca_system_score_gemma":0.000005775551,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000005099062,"about_ca_topic_score_gemma":0.00002784115,"domain_scores_codex":[0.999567,0.000008680133,0.0001701193,0.00008481514,0.00008594283,0.00008347705],"domain_scores_gemma":[0.9994117,0.0002808106,0.00006872424,0.0001645366,0.00004701541,0.00002721737],"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":[0.000041256,0.0002119395,0.01262736,0.000356176,0.0001070145,0.000001726404,0.0002501813,5.115555e-7,0.05704328,0.8333696,0.003747777,0.09224316],"study_design_scores_gemma":[0.001208077,0.0002869326,0.01877579,0.0001520064,0.00007163662,0.00001249109,0.001564209,0.00001634773,0.0232647,0.950861,0.003567846,0.0002189653],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9122428,0.00006754635,0.07577538,0.0001222047,0.00005855577,0.00006920657,0.00001421294,0.00003169017,0.01161843],"genre_scores_gemma":[0.9844908,0.00005231453,0.007498827,0.00001455167,0.00001981209,0.000002999487,4.784752e-7,0.000007557636,0.007912665],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1174914,"threshold_uncertainty_score":0.3029468,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.031908162983055,"score_gpt":0.2720733370795619,"score_spread":0.240165174096507,"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."}}