Symplectic supercuspidal representations and related problems

In this paper, we summarize the basic structures and properties of irreducible symplectic supercuspidal representations of GL n ( F ) over a p -adic local field F with characteristic zero, and explore possible topics for further investigation.

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Bibliographic Details
Published inScience China. Mathematics Vol. 53; no. 3; pp. 533 - 546
Main Authors Jiang, DiHua, Nien, ChuFeng, Qin, YuJun
Format Journal Article
LanguageEnglish
Published Heidelberg SP Science China Press 01.03.2010
Subjects
Applications of Mathematics
Mathematics
Mathematics and Statistics
Reviews
stability and endoscopy
Primary 11F70, 22E50
generalized Shalika models
Secondary 11F85, 22E55
Shalika models
linear models
symplectic supercuspidal representations
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Summary:In this paper, we summarize the basic structures and properties of irreducible symplectic supercuspidal representations of GL n ( F ) over a p -adic local field F with characteristic zero, and explore possible topics for further investigation.
ISSN:1674-7283
1869-1862
DOI:10.1007/s11425-010-0056-0