My research interests are branching laws for infinite-dimensional representations of real reductive Lie groups. My main method of the research is the theory of algebraic analysis such as hyperfunctions and D-modules. Especially, I consider infinite-dimensional representations realized on function spaces on homogeneous spaces. My special interests are the branching laws of such representations, which reflect the geometry of the homogeneous spaces.

Keywords	Representation Theory, Algebraic Analysis, D-module, Branching Law, Infinite-dimensional Representation, Real Reductive Lie Group
Faculty , Department	Institute of Mathematics for Industry