15 citations · 42 across the 14 of their papers we have counts for
14 papers
Theta liftings for type dual pairs of loop groups
Yanze Chen, Yongchang Zhu
In this article we prove the theta liftings of a cusp form on the loop group induced from a classical cusp form for the loop group ``dual pair'' $(\mathrm{GL}_n,\ma…
Weil representations of twisted loop groups of type
Yanze Chen, Yongchang Zhu
We construct Weil representations of twisted loop groups of type over local fields. We prove that the associated cover of the twisted loop group is the two fold metaple…
Linear Topological Modules over Vertex Algebras
Xuanzhong Dai, Yongchang Zhu
We introduce the concept of linear topological modules over vertex algebras and apply it to representations of system and affine Kac-Moody algebras.
A Construction of Representations of Loop Group and Affine Lie Algebra of
Xuanzhong Dai, Yongchang Zhu
In this paper, we construct a representation of loop group and derive the formula of the corresponding representation of the affine Kac-Moody algebra with level 1. And we also prov…
Selberg Integral over Local Fields
Zenan Fu, Yongchang Zhu
Selberg introduced his beautiful integral formula in 1944, see [Sel]. Evans [E1] conjectured a finite field analog of Selberg integral formula in 1980. And Anderson [An] proved a m…
Theta lifting for loop groups
Dongwen Liu, Yongchang Zhu
In this paper we study the theta lifting for loop groups and extend the classical tower property established by S. Rallis to the loop setting. As an application we obtain cusp form…