Last Update 2022/11/21
My research interest lies in the representation theory of Lie groups, particularly branching laws of representations. The branching law describes how a given representation decomposes when restricted to a subgroup, which is a mathematical formulation of the breaking symmetry. In my thesis, I studied the branching laws of a certain class of representations of real reductive groups (the so-called derived functor modules) in terms of a geometric realization of representations by using D-modules on the flag variety.
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