Pieri rules for classical groups and equinumeration between generalized oscillating tableaux and semistandard tableaux

Abstract

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

References in corpus (2)

• Tableau sequences, open diagrams, and Baxter families
• Bijections between oscillating tableaux and (semi)standard tableaux via growth diagrams

Cited by in corpus (1)

• A reciprocity law and the skew Pieri rule for the symplectic group