Wentworth
Institute of Technology
Arthur's Invariant Trace Formula and Comparison of Inner Forms
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 sub...
Saved in:
| Main Author: | |
|---|---|
| Corporate Author: | |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cham :
Springer International Publishing : Imprint: Birkhäuser,
2016.
|
| Subjects: | |
| Online Access: |
Full text (Wentworth users only) |
MARC
| LEADER | 00000cam a22000005i 4500 | ||
|---|---|---|---|
| 001 | w2094954 | ||
| 005 | 20240610133818.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 160914s2016 gw | s |||| 0|eng d | ||
| 020 | |a 9783319315935 |9 978-3-319-31593-5 | ||
| 024 | 7 | |a 10.1007/978-3-319-31593-5 |2 doi | |
| 035 | |a (DE-He213)978-3-319-31593-5 | ||
| 040 | |d UtOrBLW | ||
| 049 | |a WENN | ||
| 050 | 4 | |a QA174-183 | |
| 072 | 7 | |a PBG |2 bicssc | |
| 072 | 7 | |a MAT002010 |2 bisacsh | |
| 082 | 0 | 4 | |a 512.2 |2 23 |
| 100 | 1 | |a Flicker, Yuval Z., |e author. | |
| 245 | 1 | 0 | |a Arthur's Invariant Trace Formula and Comparison of Inner Forms |h [electronic resource] / |c by Yuval Z. Flicker. |
| 264 | 1 | |a Cham : |b Springer International Publishing : |b Imprint: Birkhäuser, |c 2016. | |
| 300 | |a XI, 567 pages 3 illustrations : |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 505 | 0 | |a Introduction -- Local Theory -- Arthur's Noninvariant Trace Formula -- Study of Non-Invariance -- The Invariant Trace Formula -- Main Comparison. | |
| 520 | |a 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. | ||
| 650 | 0 | |a Mathematics. |0 sh 85082139 | |
| 650 | 0 | |a Group theory. |0 sh 85057512 | |
| 650 | 0 | |a Matrices. |0 sh 85082210 | |
| 650 | 0 | |a Algebra. |0 sh 85003425 | |
| 650 | 0 | |a Topological groups. |0 sh 85136082 | |
| 650 | 0 | |a Lie groups. |0 sh 85076786 | |
| 650 | 0 | |a Number theory. |0 sh 85093222 | |
| 710 | 2 | |a SpringerLink (Online service) |0 no2005046756 | |
| 773 | 0 | |t Springer eBooks | |
| 776 | 0 | 8 | |i Printed edition: |z 9783319315911 |
| 951 | |a 2094954 | ||
| 999 | f | f | |i 6d9d3c47-cb5a-5c18-9060-594346c2f7df |s 032941bb-cea2-5ba5-b7cf-0f11390b10f9 |t 0 |
| 952 | f | f | |a Wentworth Institute of Technology |b Main Campus |c Wentworth Library |d Ebooks |t 0 |e Springer |h Other scheme |
| 856 | 4 | 0 | |t 0 |u https://ezproxywit.flo.org/login?qurl=https://dx.doi.org/10.1007/978-3-319-31593-5 |y Full text (Wentworth users only) |