Dual partially harmonic tensors and quantized Schur--Weyl duality

Pei Wang, Zhankui Xiao

Let $V$ be a $2m$-dimensional symplectic space over an infinite field $K$. Let ${\mathfrak{B}}_{n,K}^{(f)}$ be the two-sided ideal of the Birman--Murakami--Wenzl algebra $\mathfrak{B…