Working Seminar on Representation Theory

A quantum symmetric pair consists of a quantum group and its coideal subalgebra. The coideal subalgebra is a quantum analog of the fixed point subalgebra of the enveloping algebra with respect to certain involution. In this talk, we shall describe the construction of (i-)canonical bases on the modified coideal subalgebras and their modules for all quantum symmetric pairs of finite type. This is joint work with Weiqiang Wang.