Positive Peter-Weyl Theorem

Date
2018/05/18 Fri 16:30 - 18:00
Room
RIMS402号室
Speaker
Ivan Ip
Affiliation
京大・理
Abstract

I will explain the Peter-Weyl Theorem for split real quantum groups of type An, generalizing the previous result in the case of Uq(sl(2,R)). I will talk about the necessary ingredients needed to state and proof the theorem, including the GNS representation of C*-algebra, Heisenberg double construction, and cluster realization of positive representations. This is a joint work with Gus Schrader and Alexander Shapiro.