THE SUBREPRESENTATION THEOREM FOR AUTOMORPHIC REPRESENTATIONS

被引：2

作者：

Hanzer, Marcela ^{[1
]}

机构：

[1] Univ Zagreb, Dept Math, Zagreb 10000, Croatia

来源：

PACIFIC JOURNAL OF MATHEMATICS | 2013年 / 261卷 / 02期

关键词：

automorphic representation; subrepresentation; cuspidal representation;

D O I：

10.2140/pjm.2013.261.389

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that every irreducible subrepresentation in the space of automorphic forms on G(A), where G is a connected reductive group defined over a number field k, and A is the related ring of adeles, is a subrepresentation of the representation induced from a cuspidal automorphic representation of a Levi subgroup.

引用

页码：389 / 394

页数：6

共 50 条

[1] HYPOTHESIS H AND THE PRIME NUMBER THEOREM FOR AUTOMORPHIC REPRESENTATIONS
Wu, Jie
Ye, Yangbo
FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI, 2007, 37 (02) : 461 - 471
[2] AUTOMORPHIC GROUP-REPRESENTATIONS - NEW PROOF OF BLATTNER THEOREM
DELAHARPE, P
PLYMEN, RJ
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1979, 19 (JUN): : 509 - 522
[3] Subrepresentation Theorem for p-adic Symmetric Spaces
Kato, Shin-ichi
Takano, Keiji
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2008, 2008
[4] CONTINUITY OF AUTOMORPHIC REPRESENTATIONS
MOFFAT, J
PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1973, 74 (NOV): : 461 - 465
[5] MULTIPLICITY BOUNDS AND THE SUBREPRESENTATION THEOREM FOR REAL SPHERICAL SPACES
Krotz, Bernhard
Schlichtkrull, Henrik
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2016, 368 (04) : 2749 - 2762
[6] Automorphic representations of Gsp(4)
Arthur, J
CONTRIBUTIONS TO AUTOMORPHIC FORMS, GEOMETRY, AND NUMBER THEORY, 2004, : 65 - 81
[7] ELLIPTIC CURVES AND AUTOMORPHIC REPRESENTATIONS
GELBART, S
ADVANCES IN MATHEMATICS, 1976, 21 (03) : 235 - 292
[8] BOUNDS FOR MULTIPLICITIES OF AUTOMORPHIC REPRESENTATIONS
SARNAK, P
XUE, XX
DUKE MATHEMATICAL JOURNAL, 1991, 64 (01) : 207 - 227
[9] UNIPOTENT AUTOMORPHIC REPRESENTATIONS - CONJECTURES
ARTHUR, J
ASTERISQUE, 1989, (171-72) : 13 - 71
[10] Automorphic Plancherel density theorem
Sug Woo Shin
Israel Journal of Mathematics, 2012, 192 : 83 - 120

← 1 2 3 4 5 →