Theta liftings for (GL_n,GL_n) type dual pairs of loop groups

2021/11/17 by Yanze Chen, Chen, Yanze, Yongchang Zhu +1
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Number Theory (math.NT) #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2111.09195

openalex publication_date 2021/11/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this article we prove the theta liftings of a cusp form on the loop group GL_n induced from a classical cusp form for the loop group ``dual pair'' (GL_n,GL_n) is an Eisenstein series.

Related

• Theta lifting for loop groups
• On Extending the Langlands-Shahidi Method to Arithmetic Quotients of Loop Groups
• Exceptional Theta-correspondences I
• Explicit formula for the (GL₂, GL₂) theta lift via Bruhat decomposition
• The tower property on the genericity of global theta lifts