{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001082617,0.001005183,0.001152335,0.002687069,0.003954536,0.005468009,0.002130559,0.00334602,0.01419925],"category_scores_gemma":[0.002022659,0.0005842944,0.0008341804,0.002228847,0.003341368,0.004382077,0.001819265,0.003058763,0.001411518],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001956509,"about_ca_system_score_gemma":0.001570136,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003600625,"about_ca_topic_score_gemma":0.005210398,"domain_scores_codex":[0.9993363,0.0001568091,0.00002690965,0.00008752065,0.0002046148,0.0001878113],"domain_scores_gemma":[0.9993569,0.000192749,0.0001068961,0.0001032241,0.00009964228,0.0001406144],"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":[0.00001611839,0.00002241897,0.00005442698,0.00001335353,0.00000215252,0.00002563911,0.00008977412,0.00051649,0.0003248435,0.9956347,0.0009981754,0.0023018],"study_design_scores_gemma":[0.00001623259,0.000008265863,0.00009234443,0.000007944687,0.000002261652,0.00005229396,0.00007364109,0.003864397,0.0001262922,0.9941403,0.00160188,0.00001413643],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.619237,0.001880504,0.1003722,0.006939729,0.00170935,0.0001850249,0.0008612997,0.0004520861,0.2683628],"genre_scores_gemma":[0.9304396,0.0008114412,0.02624473,0.001584719,0.0007308017,0.0001882729,0.0007305147,0.0001982718,0.03907165],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01419925,"threshold_uncertainty_score":0.04750127,"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."}}