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[en] Using anisotropic R-matrices associated with affine Lie algebras (specifically, , , , , ) and suitable corresponding K-matrices, we construct families of integrable open quantum spin chains of finite length, whose transfer matrices are invariant under the quantum group corresponding to removing one node from the Dynkin diagram of . We show that these transfer matrices also have a duality symmetry (for the cases and ) and additional symmetries that map complex representations to their conjugates (for the cases , and ). A key simplification is achieved by working in a certain “unitary” gauge, in which only the unbroken symmetry generators appear. The proofs of these symmetries rely on some new properties of the R-matrices. We use these symmetries to explain the degeneracies of the transfer matrices.