Description
We study finite-dimensional representations of the quantum group analogue of $\mathfrak{so}_{2N}$ inside $\mathfrak{so}_{2N+1}$ appearing in the theory of quantum symmetric pairs. Using a Verma module approach, we classify finite-dimensional simple modules in terms of highest weights. These highest weights are joint eigenvalues of the Letzter-Cartan subalgebra. Using a modified $\mathfrak{sl}_2\times\mathfrak{sl}_2$-argument, we explicitly determine the highest weights of finite-dimensional irreducible representations.