Symplectic supercuspidal representations of GL(2n) over p-adic fields
Symplectic supercuspidal representations of GL(2n) over p-adic fields
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DOI：
10.2140/pjm.2010.245.273
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发表时间：
2010-04
影响因子：
0.6
通讯作者：
Dihua Jiang;Chufeng Nien;Yujun Qin
中科院分区：
文献类型：
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作者：
Dihua Jiang;Chufeng Nien;Yujun Qin
这是作者从[JNQ 08]开始的第二部分工作。本文研究了p-adic GL 2n的不可约辛超尖点表示的局部theta对应、局部Langlands转移和局部下降之间的完全关系。这是金兹伯格-拉利斯-苏德里（[GRS 99]）和江-苏德里（[JS 03]）关于地方血统和地方朗兰兹转移的工作的自然延伸。本文所采用的方法纯粹是地方性的。JiangSoudry在[S 08]中提出了一种适用于更一般的经典群的局部和整体混合方法。
This is the second part of the authors’ work started from [JNQ08]. In this paper, we consider the complete relations among the local theta correspondence, local Langlands transfer, and the local descent attached to a given irreducible symplectic supercuspidal representation of p-adic GL2n. This is the natural extension of the work of Ginzburg-Rallis-Soudry ([GRS99]) and of Jiang-Soudry ([JS03]) on the local descents and the local Langlands transfers. The approach undertaken in this paper is purely local. A mixed approach with both local and global method, which works for more general classical groups, has been considered by JiangSoudry and was announced in [S08].