Coverart for item
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

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
Creator
Contributor
Subject
Genre
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
Member of
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
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references (pages 225-230)
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
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references (pages 225-230)
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

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