An RTT presentation and PBW basis are given for the type CI coideal subalgebra U_q^tw(gl_n) of U_q(sp_{2n}), together with an isomorphism to the i-quantum group and an explicit Poisson bracket.
Isomorphism between twisted $q$-Yangians and affine $\imath$quantum groups: type AI
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abstract
By employing Gauss decomposition, we establish a direct and explicit isomorphism between the twisted $q$-Yangians (in R-matrix presentation) and affine $\imath$quantum groups (in current presentation) associated to symmetric pair of type AI introduced by Molev-Ragoucy-Sorba and Lu-Wang, respectively. As a corollary, we obtain a PBW type basis for affine $\imath$quantum groups of type AI.
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RTT presentation of coideal subalgebra of quantized enveloping algebra of type CI
An RTT presentation and PBW basis are given for the type CI coideal subalgebra U_q^tw(gl_n) of U_q(sp_{2n}), together with an isomorphism to the i-quantum group and an explicit Poisson bracket.