Arthur's Invariant Trace Formula and Comparison of Inner Forms

Nonfiction, Science & Nature, Mathematics, Group Theory, Algebra
Cover of the book Arthur's Invariant Trace Formula and Comparison of Inner Forms by Yuval Z. Flicker, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Yuval Z. Flicker ISBN: 9783319315935
Publisher: Springer International Publishing Publication: September 14, 2016
Imprint: Birkhäuser Language: English
Author: Yuval Z. Flicker
ISBN: 9783319315935
Publisher: Springer International Publishing
Publication: September 14, 2016
Imprint: Birkhäuser
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer International Publishing

Cover of the book Inventing a Space Mission by Yuval Z. Flicker
Cover of the book Organometallics for Green Catalysis by Yuval Z. Flicker
Cover of the book Mathematical Creativity and Mathematical Giftedness by Yuval Z. Flicker
Cover of the book Color Atlas of Head and Neck Surgery by Yuval Z. Flicker
Cover of the book Robustness Analysis in Decision Aiding, Optimization, and Analytics by Yuval Z. Flicker
Cover of the book Tsunami Propagation in Tidal Rivers by Yuval Z. Flicker
Cover of the book Probability Distributions in Risk Management Operations by Yuval Z. Flicker
Cover of the book Search for New Phenomena in Dijet Angular Distributions at √s = 8 and 13 TeV by Yuval Z. Flicker
Cover of the book America's Failing Economy and the Rise of Ronald Reagan by Yuval Z. Flicker
Cover of the book Landscapes of Eternal Return by Yuval Z. Flicker
Cover of the book Mathematical Models for Suspension Bridges by Yuval Z. Flicker
Cover of the book Media Exposure During Infancy and Early Childhood by Yuval Z. Flicker
Cover of the book The Neoliberalization of Creativity Education by Yuval Z. Flicker
Cover of the book Clinical Cases in Coronary Rotational Atherectomy by Yuval Z. Flicker
Cover of the book Configurable Intelligent Optimization Algorithm by Yuval Z. Flicker
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy