5 citations · 12 across the 8 of their papers we have counts for
8 papers
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…
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…
Big Theta equals small theta generically
Rui Chen, Jialiang Zou
In this paper we consider the theta correspondence over a non-Archimedean local field. Using the homological method and the theory of derivatives, we show that under a mild conditi…
Generic Hecke algebra and theta correspondence over finite fields
Jia-Jun Ma, Congling Qiu, Jialiang Zou
We study the Hecke algebra modules arising from theta correspondence between certain Harish-Chandra series for type I dual pairs over finite fields. For the product of the pair of…
Theta Correspondence and Arthur packets
Rui Chen, Jialiang Zou
In spirit of Gan-Ichino's work on the Arthur's multiplicity formula for metaplectic groups, we have established the Arthur's multiplicity formula for even orthogonal or unitary gro…
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…
Local Langlands Correspondence for Even Orthogonal Groups via Theta Lifts
Rui Chen, Jialiang Zou
Using theta correspondence, we obtain a classification of irreducible representations of an arbitrary even orthogonal group (i.e. the local Langlands correspondence) by deducing it…
Local Langlands Correspondence for Unitary Groups via Theta Lifts
Rui Chen, Jialiang Zou
Using the theta correspondence, we extend the classification of irreducible representations of quasi-split unitary groups (the so-called local Langlands correspondence, which was e…