Canonical bases arising from quantum symmetric pairs

Working Seminar on Representation Theory
Topic:Canonical bases arising from quantum symmetric pairs
Speaker:Huanchen Bao
Affiliation:Member, School of Mathematics
Date:Friday, February 10
Time/Room:2:00pm - 3:00pm/S-101

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.