Braid Group Action and Quasi-Split Affine Quantum Groups II: Higher Rank

This paper studies quantum symmetric pairs (U, U^ ) associated with quasi-split Satake diagrams of affine type A_2r-1, D_r, E_6 with a nontrivial diagram involution fixing the affine simple node. Various real and imaginary root vectors for the universal quantum groups U^ are constructed with the help of the relative braid group action, and they are used to construct affine rank one subalgebras of U^ . We then establish relations among real and imaginary root vectors in different affine rank one subalgebras and use them to give a Drinfeld type presentation of U^ .