4 citations · 9 across the 7 of their papers we have counts for
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The Weil Representations of the Jacobi Group
Jae-Hyun Yang
The Jacobi group is the semi-direct product of the symplectic group and the Heisenberg group. The Jacobi group is an important object in the framework of quantum mechanics, geometr…
Lecture on Langlands Functoriality Conjecture
Jae-Hyun Yang
This is a survey lecture note on the applications of Langlands functoriality which were obtained recently by some people at the Langalnds school. This lecture was delivered at the…
Theta Series Associated with the Weil-Schroedinger Representation
Jae-Hyun Yang
The Weil representation discovered by Andre Weil plays an important role in the study of the tranformation properties of theta series. In this paper, we define the Weil-Schroedinge…
Theory of the Siegel Modular Variety
Jae-Hyun Yang
In this paper, we discuss the theory of the Siegel modular variety in the aspects of arithmetic and geometry. This article covers the theory of Siegel modular forms, the Hecke theo…
Remark on Harmonic Analysis on Siegel-Jacobi Space
Jae-Hyun Yang
This is the lecture note of my invited lecture given at the International Conference on Number Theory at Harish-Chandra Research Institute in Allahabad (quite near the River Ganges…