Ivan ChiHo Ip

Last Update 2021/04/05
My major research interest is on the representation theory of quantum groups and its relations to the classical matrix groups. In particular, currently I am working on the class of positive principal series representations of split real quantum groups, which has a strong parallel to the theory of compact quantum groups.
The whole program involves several related theories, including Faddeev's modular double, the quantum dilogarithm and qspecial functions, harmonic analysis on semigroup, cluster algebras, Lusztig's parametrization of total positivity, C*algebra and unbounded operators. It is expected to have applications to construction of new Topological Quantum Field Theories (TQFT) and Categorifications.
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