Representation Theory Seminar at KIAS, Korea
2013/07/26 (Fri)
speaker: Ivan Chi-ho Ip (Kavli IPMU, University of Tokyo)
time and venue: 14:00 -15:30, Room 1424, KIAS, Seoul, Korea
title: Positive Representations: Motivation, Construction and Perspective from C* Algebra
abstract:
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In this talk, I will introduce the family of positive principal series representations for split real quantum groups by positive self-adjoint operators. The construction of these representations gives the starting point of a new research program devoted to the representation theory of split real quantum groups initiated in the joint work with Igor Frenkel, with a future perspective comparable to past development of finite-dimensional representation theory of quantum groups established by Drinfeld and Jimbo. I will explain the motivation in the Uq(sl(2,R)) case by the work of J. Teschner, briefly describe the construction in general rank, and explain the role played by multiplier Hopf algebra in the C* algebraic framework. |