{"id":"W2962953026","doi":"10.1016/j.jalgebra.2013.08.028","title":"Counting irreducible representations of the Heisenberg group over the integers of a quadratic number field","year":2013,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":false,"ca_institutions":"Cape Breton University","funders":"","keywords":"Mathematics; Twist; Heisenberg group; Pure mathematics; Nilpotent; Algebraic number field; Function field; Quadratic equation; Nilpotent group; Algebra over a field; Field (mathematics); 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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002006633,0.0007712271,0.001035655,0.003163526,0.002027076,0.00433159,0.001937193,0.001562304,0.00566209],"category_scores_gemma":[0.008763769,0.0004296401,0.0006810699,0.001945224,0.003976034,0.007698393,0.002215622,0.00153464,0.0003134987],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00114524,"about_ca_system_score_gemma":0.0007536825,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008188008,"about_ca_topic_score_gemma":0.0008498677,"domain_scores_codex":[0.9985327,0.0003638685,0.0001070001,0.0001885102,0.0004775586,0.0003303298],"domain_scores_gemma":[0.9947841,0.002480362,0.0009084679,0.0006066427,0.0004322059,0.0007881394],"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":[0.0003516589,0.0001163812,0.004492243,0.00009945659,0.00002508089,0.0002971092,0.000892747,0.004250083,0.003150594,0.9748478,0.001212618,0.01026419],"study_design_scores_gemma":[0.00004090342,0.00005844886,0.0009179892,0.00002784807,0.00002230276,0.0002062714,0.0002747194,0.02150051,0.00179483,0.9740071,0.001126749,0.00002227071],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9503785,0.0001877055,0.03399107,0.0004962427,0.00008630175,0.00003690209,0.0001167867,0.0001199438,0.01458658],"genre_scores_gemma":[0.9891774,0.0001201387,0.006335539,0.00004693761,0.0001102414,0.00002417983,0.0001650788,0.00004383423,0.003976607],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00566209,"threshold_uncertainty_score":0.01894158,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01831249189631028,"score_gpt":0.312617438003558,"score_spread":0.2943049461072477,"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."}}