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Representations of Reductive p-adic Groups

Part of the Progress in Mathematics Book Series (volume 328)

Editors: Aubert, Anne-Marie; Mishra, Manish; Roche, Alan; Spallone, Steven

DOI: 10.1007/978-981-13-6628-4

ISBN: 978-981-13-6627-7

Publisher: Springer Singapore - Springer Journals

Apr 17, 2019

1 - 9 of 9 Chapters

LitStream

Chapter 1Local Langlands and Springer Correspondences

Aubert, Anne-Marie

Pages: 1 –37

[These notes give an overview of results obtained jointly with Ahmed Moussaoui and Maarten Solleveld on the local Langlands correspondence, focusing on the links of the latter with both the generalized Springer correspondence and the geometric conjecture, the so-called ABPS Conjecture, introduced...
LitStream

Chapter 2Arithmetic of Cuspidal Representations

Bushnell, Colin J.

Pages: 39 –126

[Here, F is a non-Archimedean local field of residual characteristic p. We are concerned with the irreducible, cuspidal representations of the general linear groups GL(n,F)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts}...
LitStream

Chapter 3Root Data with Group Actions

Adler, Jeffrey D.; Lansky, Joshua M.

Pages: 127 –143

[Suppose k is a field, G is a connected reductive algebraic k-group, T is a maximal k-torus in G, and Γ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs}...
LitStream

Chapter 4The Character of a Simple Supercuspidal Representation of SL(2, F)

Adrian, Moshe

Pages: 145 –159

[Let F be a non-Archimedean local field of characteristic zero with residual characteristic p. In this paper, we compute the character of a simple supercuspidal representation of SL(2, F), when p is arbitrary.]
LitStream

Chapter 5Classification of Strongly Positive Representations of Even General Unitary Groups

Kim, Yeansu; Matić, Ivan

Pages: 161 –174

[We explicitly identify the structure of Jacquet modules of parabolically induced representations of even unitary groups and even general unitary groups over a p-adic field F of characteristic different than two. As an application, we obtain a classification of the strongly positive discrete...
LitStream

Chapter 6On the Unicity of Types for Toral Supercuspidal Representations

Latham, Peter; Nevins, Monica

Pages: 175 –190

[For tame arbitrary-length toral, also called positive regular, supercuspidal representations of a simply connected and semisimple p-adic group G, constructed as per Adler-Yu, we determine which components of their restriction to a maximal compact subgroup are types. We give conditions under...
LitStream

Chapter 7Local Gamma Factors, Converse Theorems and Related Problems

Nien, Chufeng

Pages: 191 –205

[This paper reviews the development of Local Converse Theorems and related results on distinction for representations of general linear groups over finite and p-adic fields.]
LitStream

Chapter 8On Completions of Hecke Algebras

Solleveld, Maarten

Pages: 207 –262

[Let G be a reductive p-adic group and let H(G)s\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt}...
LitStream

Chapter 9On Relatively Tempered Representations for p-adic Symmetric Spaces

Takeda, Shuichiro

Pages: 263 –289

[We generalize a well known subrepresentation theorem for tempered representations to the context of relatively tempered representations for p-adic symmetric spaces, assuming p≠2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts}...

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