| Arthur's Invariant Trace Formula and Comparison of Inner Forms Softcover Repri Edition Contributor(s): Flicker, Yuval Z. (Author) |
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ISBN: 3319810731 ISBN-13: 9783319810737 Publisher: Birkhauser OUR PRICE: $151.99 Product Type: Paperback - Other Formats Published: April 2018 |
| Additional Information |
| BISAC Categories: - Mathematics | Algebra - Abstract - Mathematics | Algebra - Linear - Mathematics | Group Theory |
| Dewey: 512.2 |
| Physical Information: 1.17" H x 6.14" W x 9.21" (1.77 lbs) 567 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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 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. |