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In this paper we describe the right coideal subalgebras containing allgroup-like elements of the two-parameter quantum groups Uq(g) and uq(g), whereg is a simple Lie algebra of type G2. As a consequence, we determine that thereare precisely 60 different right coideal subalgebras containing all group-likeelements.

Right coideal subalgebras of quantized universal enveloping algebras of type G2