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Bibframe Work

Title
Representations of Reductive p-adic Groups
Type
Text
Monograph
Multimedia
Contribution
Aubert, Anne-Marie (Editor)
Mishra, Manish (Editor)
Roche, Alan (Editor)
Spallone, Steven (Editor)
Subject
(BISACSH)
Group theory (LCSH)
Harmonic analysis (LCSH)
Lie groups (LCSH)
Topological groups (LCSH)
Language
English
Classification
DDC: 512.482 full (Source: 23)
DDC: 512.55 full (Source: 23)
Content
text
Summary
This book consists of survey articles and original research papers in the representation theory of reductive p-adic groups. In particular, it includes a survey by Anne-Marie Aubert on the enormously influential local Langlands conjectures. The survey gives a precise and accessible formulation of many aspects of the conjectures, highlighting recent refinements, due to the author and her collaborators, and their current status. It also features an extensive account by Colin Bushnell of his work with Henniart on the fine structure of the local Langlands correspondence for general linear groups, beginning with a clear overview of Bushnell-Kutzko's construction of cuspidal types for such groups. The remaining papers touch on a range of topics in this active area of modern mathematics: group actions on root data, explicit character formulas, classification of discrete series representations, unicity of types, local converse theorems, completions of Hecke algebras, p-adic symmetric spaces. All meet a high level of exposition. The book should be a valuable resource to graduate students and experienced researchers alike.
Table Of Contents
Chapter 1: Introduction to the local Langlands correspondence
Chapter 2. Arithmetic of cuspidal representations
Chapter 3. Harmonic analysis and affine Hecke algebras
Chapter 4. Types and Hecke algebras.
Authorized Access Point
Representations of Reductive p-adic Groups
Admin Metadata
Generation Process: DLC marc2bibframe2 v2.5.0
Status: changed
Encoding Level: preliminary
Identified By: bf:Local, 21733237
Change Date: 2020-09-30T17:31:46
Creation Date: 2019-04-16
Description Language: English
Assigner: United States, Library of Congress

Other Physical Format
Representations of reductive p-adic groups
Representations of Reductive p-adic Groups : International Conference, IISER, Pune, India, 2017
Representations of Reductive p-adic Groups : International Conference, IISER, Pune, India, 2017
Representations of Reductive p-adic Groups : International Conference, IISER, Pune, India, 2017