Authors:
A synthesis of two decades worth of research, combining results from Arthur’s many articles into one cohesive and accessible text
Author introduces the material in stages, balancing the need to motivate the reader while exploring the larger, more technical details
Will be a valuable resource as both a reference for researchers and as a tool for advanced graduate students in this area
Includes supplementary material: sn.pub/extras
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Table of contents (6 chapters)
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Front Matter
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Back Matter
About this book
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.
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Authors and Affiliations
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The Ohio State University, Ariel University, Ariel, Israel, Columbus, USA
Yuval Z. Flicker
Bibliographic Information
Book Title: Arthur's Invariant Trace Formula and Comparison of Inner Forms
Authors: Yuval Z. Flicker
DOI: https://doi.org/10.1007/978-3-319-31593-5
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2016
Hardcover ISBN: 978-3-319-31591-1Published: 23 September 2016
Softcover ISBN: 978-3-319-81073-7Published: 22 April 2018
eBook ISBN: 978-3-319-31593-5Published: 14 September 2016
Edition Number: 1
Number of Pages: XI, 567
Number of Illustrations: 3 b/w illustrations
Topics: Group Theory and Generalizations, Linear and Multilinear Algebras, Matrix Theory, Topological Groups, Lie Groups, Number Theory