{"id":"W2952487193","doi":"10.48550/arxiv.0909.5670","title":"Compatible intertwiners for representations of finite nilpotent groups","year":2009,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"","keywords":"Pure mathematics; Functor; Mathematics; Nilpotent; Symplectic geometry; Abelian group; Parameterized complexity; Algebra over a field; Representation theory; Lie group; Combinatorics","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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0001586856,0.0002562735,0.0004878589,0.0003342867,0.0000803837,0.0000184167,0.0004857864,0.0001998285,0.00005129962],"category_scores_gemma":[0.0003002512,0.0002864863,0.0003658618,0.0003824449,0.00009950139,0.0001150927,0.0003476948,0.0003064974,0.000008937471],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00009698675,"about_ca_system_score_gemma":0.00006216698,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001482262,"about_ca_topic_score_gemma":0.00002304733,"domain_scores_codex":[0.998715,0.00005804642,0.0003371944,0.000563314,0.00007535543,0.0002510496],"domain_scores_gemma":[0.9977742,0.00066398,0.0004577941,0.0007745542,0.0002321874,0.00009726849],"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":[0.0001922442,0.0004521827,0.001799576,0.0007404052,0.0003014308,0.00004079695,0.0004808882,0.1915274,0.00009640296,0.801304,0.002480696,0.0005839497],"study_design_scores_gemma":[0.0007865303,0.0001021576,0.0003912949,0.0002044807,0.0002412657,0.000001160945,0.0004973247,0.03908982,0.0004374297,0.9577562,0.0001772762,0.0003151179],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.380889,0.00002927584,0.6159863,0.00005859703,0.0002163872,0.000509797,0.00009259628,0.0000875538,0.002130477],"genre_scores_gemma":[0.9886279,0.00005663611,0.009205223,0.00004373336,0.00006993155,0.00000250508,0.00008872814,0.00002677051,0.001878561],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.6077389,"threshold_uncertainty_score":0.9999588,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1451242409077547,"score_gpt":0.2653687283375106,"score_spread":0.1202444874297559,"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."}}