3 papers
math.RT2025
Theta correspondence and Springer correspondence
Jia-Jun Ma, Congling Qiu, Zhiwei Yun +1
In this paper, we obtain an explicit formula for the theta correspondence of unipotent principal-series representations between an even orthogonal and a symplectic group or between…
math.RT2025
Godement--Jacquet L-function and homological theta lifting
Rui Chen, Yufeng Li, Xiaohuan Long +2
In this paper we investigate the theta lifting of type II dual pairs over a non-Archimedean local field, by combining the homological method of Adams--Prasad--Savin and the analyti…
math.NT2024
Arthur's multiplicity formula for even orthogonal and unitary groups
Rui Chen, Jialiang Zou
Let G be an even orthogonal or unitary group over a number field. Based on the same observation used in arXiv:1705.10106, we prove the Arthur's multiplicity formula for the generic…