Pieri Rules for Classical Groups and Equinumeration between Generalized Oscillating Tableaux and Semistandard Tableaux

[摘要] We present several equinumerous results between generalized oscillating tableaux and semistandard tableaux and give a representation-theoretic proof to them. As one of the key ingredients of the proof, we provide Pieri rules for the symplectic and orthogo

[学科分类] 离散数学和组合数学

[关键词] Standard tableuax;Oscillating tableaux;Semistandard tableaux;Pieri rules