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 Servitization in Industry by Yuval Z. Flicker
Cover of the book Neuroanatomy for the Neuroscientist by Yuval Z. Flicker
Cover of the book Membrane Potential Imaging in the Nervous System and Heart by Yuval Z. Flicker
Cover of the book A Puerto Rican Decolonial Theology by Yuval Z. Flicker
Cover of the book Reciprocating Engine Combustion Diagnostics by Yuval Z. Flicker
Cover of the book Understanding the Cochlea by Yuval Z. Flicker
Cover of the book Entrepreneurship in Culture and Creative Industries by Yuval Z. Flicker
Cover of the book Algorithmic Mathematics by Yuval Z. Flicker
Cover of the book Brain and Mind by Yuval Z. Flicker
Cover of the book Networked Systems by Yuval Z. Flicker
Cover of the book Cybernetics Approaches in Intelligent Systems by Yuval Z. Flicker
Cover of the book The Quest for Aqua Vitae by Yuval Z. Flicker
Cover of the book Advances in Applied Strategic Mine Planning by Yuval Z. Flicker
Cover of the book Fractures of the Tibia by Yuval Z. Flicker
Cover of the book Cryopedology 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