Arthur's Invariant Trace Formula and Comparison of Inner Forms

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 dif...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Flicker, Yuval Z. (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Birkhäuser, 2016.
Edición:1st ed. 2016.
Temas:
Group theory.
Algebras, Linear.
Topological groups.
Lie groups.
Number theory.
Group Theory and Generalizations.
Linear Algebra.
Topological Groups and Lie Groups.
Number Theory.
Acceso en línea:Texto Completo

MARC

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245 1 0 |a Arthur's Invariant Trace Formula and Comparison of Inner Forms  |h [electronic resource] /  |c by Yuval Z. Flicker. 
250 |a 1st ed. 2016. 
264 1 |a Cham :  |b Springer International Publishing :  |b Imprint: Birkhäuser,  |c 2016. 
300 |a XI, 567 p. 3 illus.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
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505 0 |a Introduction -- Local Theory -- Arthur's Noninvariant Trace Formula -- Study of Non-Invariance -- The Invariant Trace Formula -- Main Comparison. 
520 |a 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, non-invariant trace formula, followed by a study of the non-invariance of the terms in the basic trace formula, and, finally, an in-depth 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. 
650 0 |a Group theory. 
650 0 |a Algebras, Linear. 
650 0 |a Topological groups. 
650 0 |a Lie groups. 
650 0 |a Number theory. 
650 1 4 |a Group Theory and Generalizations. 
650 2 4 |a Linear Algebra. 
650 2 4 |a Topological Groups and Lie Groups. 
650 2 4 |a Number Theory. 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer Nature eBook 
776 0 8 |i Printed edition:  |z 9783319315911 
776 0 8 |i Printed edition:  |z 9783319315928 
776 0 8 |i Printed edition:  |z 9783319810737 
856 4 0 |u https://doi.uam.elogim.com/10.1007/978-3-319-31593-5  |z Texto Completo 
912 |a ZDB-2-SMA 
912 |a ZDB-2-SXMS 
950 |a Mathematics and Statistics (SpringerNature-11649) 
950 |a Mathematics and Statistics (R0) (SpringerNature-43713) 

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