2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/109137The theory of quantum symmetric pairs as developed by the second author is based on coideal subalgebras of the quantized universal enveloping algebra for a semisimple Lie algebra. This paper investigates the center of these coideal subalgebras, proving that the center is a polynomial ring. A basis of the center is given in terms of a submonoid of the dominant integral weights.LaTeX2e, 45 pagesQuantum AlgebraRepresentation Theory17B37text