Krattenthaler and Burrill-Courtiel-Fusy-Melczer-Mishna gave bijective proofs to an equinumerous result between oscillating tableaux and standard tableaux. In this talk, we give another proof and generalizations based on to the representation theory of classical groups. As one of the key ingredients of the proof, we provide Pieri rules for the symplectic and orthogonal groups.
09.09.2016