On invariants of discrete series representations of classical \(p\)-adic groups
type: Item
instance of: scholarly article
title: On invariants of discrete series representations of classical \(p\)-adic groups
zbMATH Open document ID: 1222.22016
author: Marko Tadić
published in: Manuscripta Mathematica
publication date: 2011-08-16T00:00:00Z
review text: The square-integrable representations modulo cuspidal data for a classical \(p\)-adic group are classified in terms of certain triples of invariants. These triples were defined by \textit{C. Moeglin} in [J. Eur. Math. Soc. (JEMS) 4, No.~2, 143--200 (2002; Zbl 1002.22009)] rather simply in terms of induced representations in all cases excepting one. In that case, she used more subtle methods involving normalized standard intertwining operators obtained through analytic continuation etc. In the paper under review, the author starts from an observation due to J.-L. Waldspurger on Moeglin's method, to define the triple of invariants in this exceptional case also in simpler terms using induced representations. As usual, the author's exposition is lucid.
Mathematics Subject Classification ID: 22E50
zbMATH DE Number: 5939579
zbMATH Keywords: square-integrable representations
zbMATH Keywords: cuspidal representations
zbMATH Keywords: local Langlands correspondence
zbMATH Keywords: intertwining operators
reviewed by: Balasubramanian Sury
MaRDI profile type: Publication
full work available at URL: s00229-010-0423-8
OpenAlex ID: W2082979402
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DOI: 10.1007/S00229-010-0423-8
description: scientific article; zbMATH DE number 5939579