Quantum symmetric pair coideal subalgebras of type \(BII_{N}\) are pairs \(\mathcal{B}_c\subseteq U_q(\mathfrak{so}_{2N+1})\) deforming classical symmetric pairs \(U\mathfrak{so}_{2N} \subseteq U\mathfrak{so}_{2N+1}\). We classify finite dimensional representations of \(\mathcal{B}_{c}\) over a wide choice of fields with $q$ not a root of unity. Specifically, we describe the Letzter-Cartan subalgebra of \(\mathcal{B}_{c}\) specify fields over which all finite dimensional representations of \(\mathcal{B}_{c}\) are highest weight representations, and describe the notion of "integral" highest weights of the Letzter-Cartan subalgebra which correspond to finite dimensional representations of \(\mathcal{B}_{c}\).

This is joint work with Stefan Kolb and Xinyang Liu.