THE UNITARIZABILITY OF THE AUBERT DUAL OF STRONGLY POSITIVE SQUARE INTEGRABLE REPRESENTATIONS

被引：8

作者：

Hanzer, Marcela ^{[1
]}

机构：

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

来源：

ISRAEL JOURNAL OF MATHEMATICS | 2009年 / 169卷 / 01期

关键词：

P-ADIC GROUPS; DISCRETE-SERIES; REDUCIBILITY; CLASSIFICATION; CONJECTURE; PROOF;

D O I：

10.1007/s11856-009-0011-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Under a natural assumption, which holds in the generic case, we prove in this paper that, for the classical p-adic groups, the Aubert dual of an irreducible, strongly positive square-integrable representation (in the sense of M oe gl., in-Tadic classification), is unitarizable. In this way, for this important class of representations, we verify the conjecture which states that the Aubert involution preserves unitarity

引用

页码：251 / 294

页数：44

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