Almost unramified discrete spectrum for split groups over Fq(t)

被引：4

作者：

Prasad, A ^{[1
]}

机构：

[1] Univ Montreal, Ctr Rech Math, Montreal, PQ H3C 3J7, Canada

来源：

DUKE MATHEMATICAL JOURNAL | 2002年 / 113卷 / 02期

关键词：

D O I：

10.1215/S0012-7094-02-11322-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a split adjoint group defined over F-q let F = F-q (t), and let A be the adeles of F. We describe the local constituents at two points of automorphic representations of G in the discrete part of L-2 (G(F)\G(A)) which have vectors invariant under Iwahori subgroups at these two points and are unramified at all other points.

引用

页码：237 / 257

页数：21

共 15 条

[1]

[Anonymous], 1984, Le "centre"de Bernstein

[2]

ANSPACH P, 1995, THESIS U CHICAGO

[3] ADMISSIBLE REPRESENTATIONS OF A SEMI-SIMPLE GROUP OVER A LOCAL FIELD WITH VECTORS FIXED UNDER AN IWAHORI SUBGROUP [J].

BOREL, A .

INVENTIONES MATHEMATICAE, 1976, 35 :233-259

[4]

Bourbaki N., 1968, ACTUALITES SCI INDUS, V1337

[5]

CASSELMAN W, 1974, UNPUB INTRO THEORY A

[6]

EFRAT I, 1991, ENSEIGN MATH, V37, P31

[7] Fourier transform and the Iwahori-Matsumoto involution [J].

Evens, S ;

Mirkovic, I .

DUKE MATHEMATICAL JOURNAL, 1997, 86 (03) :435-464

[8]

Iwahori N., 1965, PUBL MATH-PARIS, V25, P5

[9] PROOF OF THE DELIGNE-LANGLANDS CONJECTURE FOR HECKE ALGEBRAS [J].

KAZHDAN, D ;

LUSZTIG, G .

INVENTIONES MATHEMATICAE, 1987, 87 (01) :153-215

[10]

Lusztig G., 1989, J AM MATH SOC, V2, P599

← 1 2 →