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Arthur's Invariant Trace Formula and Comparison of Inner Forms

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Arthur's Invariant Trace Formula and Comparison of Inner Forms/ by Yuval Z. Flicker.
Author:	Flicker, Yuval Z.
Description:	XI, 567 p. 3 illus.online resource. :
Contained By:	Springer Nature eBook
Subject:	Group theory. -
Online resource:	https://doi.org/10.1007/978-3-319-31593-5
ISBN:	9783319315935

Arthur's Invariant Trace Formula and Comparison of Inner Forms
Flicker, Yuval Z.

Arthur's Invariant Trace Formula and Comparison of Inner Forms[electronic resource] /by Yuval Z. Flicker. - 1st ed. 2016. - XI, 567 p. 3 illus.online resource.

Introduction -- Local Theory -- Arthur's Noninvariant Trace Formula -- Study of Non-Invariance -- The Invariant Trace Formula -- Main Comparison.

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.

ISBN: 9783319315935

Standard No.: 10.1007/978-3-319-31593-5doiSubjects--Topical Terms:

527791
Group theory.

LC Class. No.: QA174-183

Dewey Class. No.: 512.2

Arthur's Invariant Trace Formula and Comparison of Inner Forms
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