## University of Sydney Algebra Seminar

# Hechun Zhang (Tsinghua University)

## Friday 19 August, 2:35-3:25pm, Carslaw 175

### Canonical bases and quantum coordinate rings

Filtrations of the tensor product of a highest weight module and lowest weight module over Uq(g) are constructed and applied to study some two-sided ideals of the modified quantized enveloping algebra. The corresponding quotient algebras of the modified quantized enveloping algebra by these ideals are dual to the quantum coordinate ring defined by Kashiwara. They also inherit canonical bases from the modified quantized enveloping algebra. This is joint work with Li Bin.