【摘 要】
：
In this talk,I will introduce the family of positive principal series representations for split real quantum groups by positive self adjoint operators.This
【机 构】
：
YaleUniversity,USAandKavliIPMU,UniversityofTokyo,Japan
【出 处】
：
The XXIX International Colloquium on Group-Theoretical Metho
论文部分内容阅读
In this talk,I will introduce the family of positive principal series representations for split real quantum groups by positive self adjoint operators.This is a generalization of the special class of representations considered by J.Teschner for Uq(sl(2,R)),where it exhibits a strong parallel to the finite-dimensional representation theory of quantum groups.In particular,we have extended the Feigin map to the whole Uq(g),and also discovered an explicit formula between generators of the Langlands dual group.
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