arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2006.12609math.RT
收藏

经典p-adic群在Corank 3中的酉化性

Unitarizability in Corank Three for Classical p-adic Groups

Marko Tadic

备注：
This paper is based on our earlier manuscript Unitarizability in generalised rank three for classical p-adic groups (arXiv:1709.00630), which is now substantially revised (organisation of the paper and geometric exhaustion argument are only some of principal differences). It has iv+119 pages and 15 figures. To appear in the Memoirs of the AMS
阅读 PDF
arXiv 页面 ↗HTML 原文 ↗

摘要：

设G是定义在特征为0的p-adic域F上的典型群的F-点。本文对G的不可约酉化表示进行了分类，这些表示是G中Corank至多为3的Levi子群的尖点表示的抛物归纳的子项。

英文摘要：

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

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

↑