25 citations · 103 across the 36 of their papers we have counts for
5 papers · 1 filter
Polarized Real Tori
Jae-Hyun Yang
For a fixed positive integer , we let be the open convex cone in the Euclidean space ${\mathbb R}^{g(g+1)/2…
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…
The Schroedinger-Weil Representation and Jacobi Forms of Half-Integral Weight
Jae-Hyun Yang
In this paper, we define the concept of Jacobi forms of half-integral weight using Takase's automorohic factor of weight 1/2 for a two-fold covering group of the symplectic group o…
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…
Heisenberg Groups, Theta Functions and the Weil Representation
Jae-Hyun Yang
In this manuscript, we develope the theory of harmonic analysis on the Heisenberg group G of high dimension. We investigate the theta functions and the Weil representation related…