Gelfand–Kirillov dimension and the p-adic Jacquet–Langlands correspondence

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2022-01-30 DOI:10.1515/crelle-2023-0033

G. Dospinescu, Vytautas Paškūnas, Benjamin Schraen

引用次数: 3

Abstract

Abstract We bound the Gelfand–Kirillov dimension of unitary Banach space representations of p-adic reductive groups, whose locally analytic vectors afford an infinitesimal character. We use the bound to study Hecke eigenspaces in completed cohomology of Shimura curves and p-adic Banach space representations of the group of units of a quaternion algebra over ℚ p {\mathbb{Q}_{p}} appearing in the p-adic Jacquet–Langlands correspondence, deducing finiteness results in favorable cases.

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Gelfand-Kirillov维和p进的Jacquet-Langlands对应

摘要对局部解析向量具有无穷小性质的p进约化群的酉Banach空间表示的Gelfand-Kirillov维进行了定界。利用该界研究了Shimura曲线完全上同调中的Hecke特征空间和p进Jacquet-Langlands对应中出现在π {\mathbb{Q}_{p}}上的四元代数单位群的p进Banach空间表示，在有利的情况下推导出有限结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

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