The Resource Arthur's Invariant Trace Formula and Comparison of Inner Forms, by Yuval Z. Flicker, (electronic resource)
Arthur's Invariant Trace Formula and Comparison of Inner Forms, by Yuval Z. Flicker, (electronic resource)
Resource Information
The item Arthur's Invariant Trace Formula and Comparison of Inner Forms, by Yuval Z. Flicker, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.This item is available to borrow from 1 library branch.
Resource Information
The item Arthur's Invariant Trace Formula and Comparison of Inner Forms, by Yuval Z. Flicker, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.
This item is available to borrow from 1 library branch.
 Summary
 This monograph provides an accessible and comprehensive introduction to James Arthur’s invariant trace formula, a crucial tool in the theory of automorphic representations. It synthesizes two decades of Arthur’s research and writing into one volume, treating a highly detailed and often difficult subject in a clearer and more uniform manner without sacrificing any technical details. The book begins with a brief overview of Arthur’s work and a proof of the correspondence between GL(n) and its inner forms in general. Subsequent chapters develop the invariant trace formula in a form fit for applications, starting with Arthur’s proof of the basic, noninvariant trace formula, followed by a study of the noninvariance of the terms in the basic trace formula, and, finally, an indepth look at the development of the invariant formula. The final chapter illustrates the use of the formula by comparing it for G’ = GL(n) and its inner form G and for functions with matching orbital integrals. Arthur’s Invariant Trace Formula and Comparison of Inner Forms will appeal to advanced graduate students, researchers, and others interested in automorphic forms and trace formulae. Additionally, it can be used as a supplemental text in graduate courses on representation theory.
 Language
 eng
 Extent
 1 online resource (XI, 567 pages)
 Contents

 Introduction
 Local Theory
 Arthur's Noninvariant Trace Formula
 Study of NonInvariance
 The Invariant Trace Formula
 Main Comparison
 Isbn
 9783319315935
 Label
 Arthur's Invariant Trace Formula and Comparison of Inner Forms
 Title
 Arthur's Invariant Trace Formula and Comparison of Inner Forms
 Statement of responsibility
 by Yuval Z. Flicker
 Language
 eng
 Summary
 This monograph provides an accessible and comprehensive introduction to James Arthur’s invariant trace formula, a crucial tool in the theory of automorphic representations. It synthesizes two decades of Arthur’s research and writing into one volume, treating a highly detailed and often difficult subject in a clearer and more uniform manner without sacrificing any technical details. The book begins with a brief overview of Arthur’s work and a proof of the correspondence between GL(n) and its inner forms in general. Subsequent chapters develop the invariant trace formula in a form fit for applications, starting with Arthur’s proof of the basic, noninvariant trace formula, followed by a study of the noninvariance of the terms in the basic trace formula, and, finally, an indepth look at the development of the invariant formula. The final chapter illustrates the use of the formula by comparing it for G’ = GL(n) and its inner form G and for functions with matching orbital integrals. Arthur’s Invariant Trace Formula and Comparison of Inner Forms will appeal to advanced graduate students, researchers, and others interested in automorphic forms and trace formulae. Additionally, it can be used as a supplemental text in graduate courses on representation theory.
 Assigning source
 Provided by publisher
 http://library.link/vocab/creatorName
 Flicker, Yuval Z
 Image bit depth
 0
 Literary form
 non fiction
 Nature of contents
 dictionaries
 Series statement
 Springer eBooks
 http://library.link/vocab/subjectName

 Mathematics
 Group theory
 Matrix theory
 Algebra
 Topological groups
 Lie groups
 Number theory
 Label
 Arthur's Invariant Trace Formula and Comparison of Inner Forms, by Yuval Z. Flicker, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Introduction  Local Theory  Arthur's Noninvariant Trace Formula  Study of NonInvariance  The Invariant Trace Formula  Main Comparison
 Control code
 9783319315935
 Dimensions
 unknown
 Extent
 1 online resource (XI, 567 pages)
 File format
 multiple file formats
 Form of item

 online
 electronic
 Governing access note
 Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, noncommercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
 Isbn
 9783319315935
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783319315935
 Other physical details
 3 illustrations
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)958864394
 Label
 Arthur's Invariant Trace Formula and Comparison of Inner Forms, by Yuval Z. Flicker, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Introduction  Local Theory  Arthur's Noninvariant Trace Formula  Study of NonInvariance  The Invariant Trace Formula  Main Comparison
 Control code
 9783319315935
 Dimensions
 unknown
 Extent
 1 online resource (XI, 567 pages)
 File format
 multiple file formats
 Form of item

 online
 electronic
 Governing access note
 Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, noncommercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
 Isbn
 9783319315935
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783319315935
 Other physical details
 3 illustrations
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)958864394
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.eui.eu/portal/ArthursInvariantTraceFormulaandComparison/QqqhEVJv2To/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.eui.eu/portal/ArthursInvariantTraceFormulaandComparison/QqqhEVJv2To/">Arthur's Invariant Trace Formula and Comparison of Inner Forms, by Yuval Z. Flicker, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.eui.eu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.eui.eu/">European University Institute</a></span></span></span></span></div>