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On Theta and Eta Correspondences for Finite Unitary Dual Pairs
- Publication Year :
- 2020
-
Abstract
- It is known that the $\Theta$-correspondence for a finite reductive dual pair is not one-to-one in general. In this paper, we propose two maximal one-to-one sub-relations $\underline\theta,\overline\theta$ of the $\Theta$-correspondences for a finite dual pair of two unitary groups. These two correspondences are extensions of the analogue of the $\eta$-correspondence proposed by Gurevich-Howe.
- Subjects :
- Mathematics - Representation Theory
20C33
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2007.10635
- Document Type :
- Working Paper