A factorization theorem for classical group characters, with applications to plane partitions and rhombus tilings

Mihai Ciucu, Christian Krattenthaler

We prove that a Schur function of rectangular shape $(M^n)$ whose variables are specialized to $x_1,x_1^{-1},...,x_n,x_n^{-1}$ factorizes into a product of two odd orthogonal chara…