{"id":"W2900487022","doi":"10.1016/j.physleta.2019.02.024","title":"The Higgs and Hahn algebras from a Howe duality perspective","year":2019,"lang":"en","type":"article","venue":"Physics Letters A","topic":"Quantum Mechanics and Non-Hermitian Physics","field":"Physics and Astronomy","cited_by":14,"is_retracted":false,"has_abstract":false,"ca_institutions":"Université de Montréal","funders":"Natural Sciences and Engineering Research Council of Canada; University of Chicago","keywords":"Subalgebra; Mathematics; Harmonic oscillator; Algebra over a field; Connection (principal bundle); Duality (order theory); Combinatorics; Pure mathematics; Physics; Quantum mechanics; Geometry","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000118862,0.0002329137,0.0002478308,0.00001140976,0.0002339445,0.0001783262,0.0002272934,0.00002533775,0.00007174406],"category_scores_gemma":[0.000002573992,0.0001835025,0.0001444207,0.0001216639,0.00008725707,0.0001916409,0.0001289021,0.0002664757,0.000227084],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003588013,"about_ca_system_score_gemma":0.00003360132,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006587464,"about_ca_topic_score_gemma":0.000002595306,"domain_scores_codex":[0.9987899,0.00007141007,0.0001629091,0.000415716,0.0002186319,0.0003414134],"domain_scores_gemma":[0.9990323,0.0002144143,0.0001282266,0.0004805552,0.00006116631,0.00008329123],"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":[0.00002847363,0.00009861017,0.008906522,0.000005865031,0.0002498576,0.000001688938,0.001292417,0.000009263583,0.02834184,0.951295,0.00373865,0.00603187],"study_design_scores_gemma":[0.001189254,0.00006508068,0.004849575,0.00003960048,0.00009123764,4.653483e-7,0.001787579,0.00250852,0.01554052,0.9672697,0.005996176,0.0006622649],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9883352,0.00009108429,0.003684915,0.003589083,0.0003333548,0.0002702629,0.0001283739,0.00003333552,0.003534408],"genre_scores_gemma":[0.9978441,0.00000563528,0.00009167004,0.0009724277,0.0008645495,0.00001546776,0.00002791927,0.00003522294,0.0001430144],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01597479,"threshold_uncertainty_score":0.7483015,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.008478306333382734,"score_gpt":0.230017523273436,"score_spread":0.2215392169400533,"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."}}