On the degenerate Whittaker space for GL4(o2)

被引：0

作者：

Parashar, Ankita ^{[1
]}

Patel, Shiv Prakash ^{[1
,2
]}

机构：

[1] IIT Delhi, Dept Math, New Delhi 110016, India

[2] IIT Dharwad, Dept Math, Dharwad 580011, India

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 2025年 / 229卷 / 05期

关键词：

Degenerate Whittaker space; Prasad's conjecture; Regular representations; GENERAL LINEAR-GROUPS; REGULAR CHARACTERS; REPRESENTATIONS; MODELS; A(N);

D O I：

10.1016/j.jpaa.2025.107921

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let o2 be a finite principal ideal local ring of length 2. For a representation pi of GL4(o2), the degenerate Whittaker space pi N, psi is a representation of GL2(o2). We describe pi N,psi explicitly for an irreducible strongly cuspidal representation pi of GL4(o2). This description verifies a special case of a conjecture of Prasad. We also prove that pi N, psi is a multiplicity free representation. (c) 2025 Elsevier B.V. All rights are reserved, including those for text and data mining, AI training, and similar technologies.

引用

页数：29

共 19 条

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