The Resource Simple algebras, base change, and the advanced theory of the trace formula, by James Arthur and Laurent Clozel
Simple algebras, base change, and the advanced theory of the trace formula, by James Arthur and Laurent Clozel
Resource Information
The item Simple algebras, base change, and the advanced theory of the trace formula, by James Arthur and Laurent Clozel represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of San Diego Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Simple algebras, base change, and the advanced theory of the trace formula, by James Arthur and Laurent Clozel represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of San Diego Libraries.
This item is available to borrow from 1 library branch.
 Summary
 A general principle, discovered by Robert Langlands and named by him the "functoriality principle," predicts relations between automorphic forms on arithmetic subgroups of different reductive groups. Langlands functoriality relates the eigenvalues of Hecke operators acting on the automorphic forms on two groups (or the local factors of the "automorphic representations" generated by them). In the few instances where such relations have been probed, they have led to deep arithmetic consequences. This book studies one of the simplest general problems in the theory, that of relating automorphic forms on arithmetic subgroups of GL(n, E) and GL(n, F) when E/F is a cyclic extension of number fields. (This is known as the base change problem for GL(n).) The problem is attacked and solved by means of the trace formula. The book relies on deep and technical results obtained by several authors during the last twenty years. It could not serve as an introduction to them, but, by giving complete references to the published literature, the authors have made the work useful to a reader who does not know all the aspects of the theory of automorphic forms
 Language
 eng
 Extent
 1 online resource (230 pages)
 Contents

 Frontmatter
 Contents
 Introduction
 Chapter 1. Local Results
 Chapter 2. The Global Comparison
 Chapter 3. Base Change
 Bibliography
 Isbn
 9781400882403
 Label
 Simple algebras, base change, and the advanced theory of the trace formula
 Title
 Simple algebras, base change, and the advanced theory of the trace formula
 Statement of responsibility
 by James Arthur and Laurent Clozel
 Subject

 Automorphic forms
 Automorphic forms
 Darstellung
 Darstellungstheorie
 Darstellungstheorie (Mathematik)
 Electronic books
 Formes automorphiques
 Formes automorphiques
 Formules de trace
 Formules de trace
 Gruppe
 Gruppentheorie
 MATHEMATICS  Group Theory
 Representations of groups
 Representations of groups
 Représentations de groupes
 Représentations de groupes
 Spur
 Spurformel
 Trace formulas
 Trace formulas
 Automorphe Form
 Language
 eng
 Summary
 A general principle, discovered by Robert Langlands and named by him the "functoriality principle," predicts relations between automorphic forms on arithmetic subgroups of different reductive groups. Langlands functoriality relates the eigenvalues of Hecke operators acting on the automorphic forms on two groups (or the local factors of the "automorphic representations" generated by them). In the few instances where such relations have been probed, they have led to deep arithmetic consequences. This book studies one of the simplest general problems in the theory, that of relating automorphic forms on arithmetic subgroups of GL(n, E) and GL(n, F) when E/F is a cyclic extension of number fields. (This is known as the base change problem for GL(n).) The problem is attacked and solved by means of the trace formula. The book relies on deep and technical results obtained by several authors during the last twenty years. It could not serve as an introduction to them, but, by giving complete references to the published literature, the authors have made the work useful to a reader who does not know all the aspects of the theory of automorphic forms
 Cataloging source
 JSTOR
 http://library.link/vocab/creatorDate
 1944
 http://library.link/vocab/creatorName
 Arthur, James
 Illustrations
 illustrations
 Index
 no index present
 Language note
 In English
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 http://library.link/vocab/relatedWorkOrContributorDate
 1953
 http://library.link/vocab/relatedWorkOrContributorName
 Clozel, Laurent
 Series statement
 Annals of mathematics studies
 Series volume
 number 120
 http://library.link/vocab/subjectName

 Representations of groups
 Trace formulas
 Automorphic forms
 Représentations de groupes
 Formules de trace
 Formes automorphiques
 MATHEMATICS
 Automorphic forms
 Representations of groups
 Trace formulas
 Automorphe Form
 Darstellungstheorie
 Gruppentheorie
 Spur
 Spur
 Spurformel
 Darstellung
 Gruppe
 Représentations de groupes
 Formules de trace
 Formes automorphiques
 Label
 Simple algebras, base change, and the advanced theory of the trace formula, by James Arthur and Laurent Clozel
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references (pages 225230)
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents

 Frontmatter
 Contents
 Introduction
 Chapter 1. Local Results
 Chapter 2. The Global Comparison
 Chapter 3. Base Change
 Bibliography
 Control code
 ocn946346627
 Dimensions
 unknown
 Extent
 1 online resource (230 pages)
 File format
 unknown
 Form of item
 online
 Isbn
 9781400882403
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Note
 JSTOR
 Other control number
 10.1515/9781400882403
 Other physical details
 illustrations
 http://library.link/vocab/ext/overdrive/overdriveId
 22573/ctt1bdtdgt
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)946346627
 Label
 Simple algebras, base change, and the advanced theory of the trace formula, by James Arthur and Laurent Clozel
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references (pages 225230)
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents

 Frontmatter
 Contents
 Introduction
 Chapter 1. Local Results
 Chapter 2. The Global Comparison
 Chapter 3. Base Change
 Bibliography
 Control code
 ocn946346627
 Dimensions
 unknown
 Extent
 1 online resource (230 pages)
 File format
 unknown
 Form of item
 online
 Isbn
 9781400882403
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Note
 JSTOR
 Other control number
 10.1515/9781400882403
 Other physical details
 illustrations
 http://library.link/vocab/ext/overdrive/overdriveId
 22573/ctt1bdtdgt
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)946346627
Subject
 Automorphic forms
 Automorphic forms
 Darstellung
 Darstellungstheorie
 Darstellungstheorie (Mathematik)
 Electronic books
 Formes automorphiques
 Formes automorphiques
 Formules de trace
 Formules de trace
 Gruppe
 Gruppentheorie
 MATHEMATICS  Group Theory
 Representations of groups
 Representations of groups
 Représentations de groupes
 Représentations de groupes
 Spur
 Spurformel
 Trace formulas
 Trace formulas
 Automorphe Form
Genre
Member of
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.sandiego.edu/portal/Simplealgebrasbasechangeandtheadvanced/InzVRVU_UTQ/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.sandiego.edu/portal/Simplealgebrasbasechangeandtheadvanced/InzVRVU_UTQ/">Simple algebras, base change, and the advanced theory of the trace formula, by James Arthur and Laurent Clozel</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.sandiego.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.sandiego.edu/">University of San Diego Libraries</a></span></span></span></span></div>