Unitarizability in Corank Three for Classical 𝑝-adic Groups

IF 2 4区数学 Q1 MATHEMATICS

Memoirs of the American Mathematical Society Pub Date : 2020-06-22 DOI:10.1090/memo/1421

Marko Tadić

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引用次数: 4

Abstract

Let G G be the F F -points of a classical group defined over a p p -adic field F F of characteristic 0 0 . We classify the irreducible unitarizable representation of G G that are subquotients of the parabolic induction of cuspidal representations of Levi subgroup of corank at most 3 in G G .

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经典𝑝-adic组的Corank 3的单一性

设G G为特征为0 0的p -进域F上定义的经典群的F -点。我们对G G的不可约一元表示进行了分类，这些表示是G G中corank最多为3的Levi子群的逆表示的抛物归纳的子商。

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来源期刊

Memoirs of the American Mathematical Society 数学-数学

CiteScore

3.50

自引率

5.30%

发文量

审稿时长

>12 weeks

期刊介绍： Memoirs of the American Mathematical Society is devoted to the publication of research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers or groups of cognate papers in book form, and is under the supervision of the Editorial Committee of the AMS journal Transactions of the AMS. To be accepted by the editorial board, manuscripts must be correct, new, and significant. Further, they must be well written and of interest to a substantial number of mathematicians.