{"id":"W2519913403","doi":"10.1016/j.aim.2017.10.009","title":"Multiplicity-free Kronecker products of characters of the symmetric groups","year":2017,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"Leibniz-Gemeinschaft; Engineering and Physical Sciences Research Council; Banff International Research Station for Mathematical Innovation and Discovery; Royal Commission for the Exhibition of 1851; American Institute of Mathematics","keywords":"Multiplicity (mathematics); Kronecker delta; Mathematics; Tensor product; Conjecture; Symmetric group; Skew; Symmetric tensor; Tensor decomposition; Pure mathematics; Tensor (intrinsic definition); Combinatorics; Physics; Exact solutions in general relativity; Geometry; Mathematical analysis","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001728805,0.001073566,0.0008481164,0.002512823,0.002049351,0.005217697,0.001365684,0.001212066,0.006159562],"category_scores_gemma":[0.004814025,0.0008125989,0.0008352303,0.001289306,0.004263037,0.006439677,0.002849297,0.002727748,0.00117597],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001324202,"about_ca_system_score_gemma":0.0009153229,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004502096,"about_ca_topic_score_gemma":0.0004630655,"domain_scores_codex":[0.9985074,0.0004471556,0.0001064615,0.0002746703,0.0004155732,0.0002487555],"domain_scores_gemma":[0.997026,0.0009462076,0.0005469608,0.0003460644,0.0004267518,0.0007078759],"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":[0.00004138737,0.00001953545,0.0002474101,0.0000210126,0.000005541266,0.00007558647,0.0002854612,0.0003204049,0.0006323345,0.9952081,0.0003762359,0.002766979],"study_design_scores_gemma":[0.00001080271,0.00002385515,0.0001816476,0.00001089923,0.000006001318,0.000151882,0.00007745901,0.001862436,0.0005421,0.9958198,0.001297655,0.00001550748],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7700319,0.001642125,0.1332892,0.001835301,0.001067416,0.00005227337,0.0003422466,0.0002799763,0.09145954],"genre_scores_gemma":[0.9663068,0.000482343,0.009227498,0.0002544709,0.0005468225,0.00003507315,0.0001636329,0.0001135859,0.02286983],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006159562,"threshold_uncertainty_score":0.0206058,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07168930207559782,"score_gpt":0.3633999178022598,"score_spread":0.291710615726662,"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."}}