{"id":"W2037809334","doi":"10.1016/j.jalgebra.2004.01.028","title":"Fock space representations and crystal bases for Cn(1)","year":2004,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":false,"ca_institutions":"York University","funders":"","keywords":"Fock space; Mathematics; Affine transformation; Space (punctuation); Pure mathematics; Crystal (programming language); Algebra over a field; Lie algebra; Type (biology); Physics; Quantum mechanics; Computer science","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":[0.0001678094,0.00009747156,0.0002226209,0.00007155193,0.00009457706,0.00004845032,0.0001121342,0.00005468434,0.00002966994],"category_scores_gemma":[0.0004881732,0.00007717373,0.0001292254,0.00007127722,0.0000375272,0.0001817887,0.00003101244,0.0001141411,5.330734e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003586809,"about_ca_system_score_gemma":0.00008813835,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000008031545,"about_ca_topic_score_gemma":0.000004587032,"domain_scores_codex":[0.9992185,0.00001742803,0.0003285038,0.0000945431,0.0002037836,0.0001372568],"domain_scores_gemma":[0.999002,0.0003044278,0.0002913401,0.0001320941,0.0001721412,0.00009800676],"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":[0.00007541731,0.00005848068,0.0001020149,0.00003787372,0.00007821888,0.000009419521,0.0005518752,0.00005060511,0.0006476305,0.9948848,0.003255255,0.0002483913],"study_design_scores_gemma":[0.001554093,0.0002503783,0.0003207225,0.00005003256,0.00007788432,0.0001696222,0.0003350266,0.00001239184,0.00202096,0.9941334,0.0009881544,0.00008729967],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.976133,0.0002689884,0.02019381,0.002276825,0.0005548849,0.0001758525,0.00000468648,0.00001387172,0.0003780075],"genre_scores_gemma":[0.9763256,0.00002991617,0.02295742,0.00009582652,0.0004366544,0.000003519214,4.799709e-7,0.00001761417,0.0001329973],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002763612,"threshold_uncertainty_score":0.3147054,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03205595021742238,"score_gpt":0.3170080416775731,"score_spread":0.2849520914601508,"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."}}