25 citations · 103 across the 36 of their papers we have counts for
14 papers · 1 filter
Construction of Vector Valued Modular Forms from Jacobi Forms
Jae-Hyun Yang
We give a geometrical construction of the canonical automorphic factor for the Jacobi group and construct new vector valued modular forms from Jacobi forms by differentiating them…
A Note on Maass-Jacobi Forms
Jae-Hyun Yang
In this paper, we introduce the notion of Maass-Jacobi forms and investigate some properties of these new automorphic forms. We also characterize these automorphic forms in several…
Trace Formulas on Finite Groups
Jae-Hyun Yang
In this paper, we study the right regular representation of a finite group on the vector space consisting of vector valued functions on with a subgroup of $…
Lattice representations of Heisenberg groups
Jae-Hyun Yang
In this article, we prove that a lattice representation of the Heisenberg group associated to a lattice and a positive definite symmetric half-integral…
A decomposition theorem on differential polynomials of theta functions of high level
Jae-Hyun Yang
In this article, we prove a decomposition theorem on differential polynomials of theta functions of high level.
Kac-Moody Algebras, the Monstrous Moonshine, Jacobi Forms and Infinite Products
Jae-Hyun Yang
In this article, we discuss the relation between Kac-Moody algebras, the monstrous moonshine, Jacobi forms and infinite products. We also review Borcherds' solution of the Moonshin…