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

Roger Howe, Roman Lavicka, Soo Teck Lee +1

We use the theory of skew duality to show that decomposing the tensor product of $k$ irreducible representations of the symplectic group $S{p}_{2m}=S{p}_{2m}(C)$ is equivalent to bra…