Skip to Main Content

Representation Theory

Published by the American Mathematical Society since 1997, this electronic-only journal is devoted to research in representation theory and seeks to maintain a high standard for exposition as well as for mathematical content. All articles are freely available to all readers and with no publishing fees for authors.

ISSN 1088-4165

The 2020 MCQ for Representation Theory is 0.71.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


Tempered endoscopy for real groups III: Inversion of transfer and $L$-packet structure
HTML articles powered by AMS MathViewer

by D. Shelstad
Represent. Theory 12 (2008), 369-402
Published electronically: October 17, 2008


This paper examines adjoint relations for spectral analogues of the geometric transfer factors of Langlands and Shelstad in the case of the tempered spectrum of a real reductive algebraic group where the complex points are connected. Each tempered irreducible character is then expanded explicitly in terms of endoscopic characters. The analysis is also reinterpreted in terms of structure on $L$-packets in the form conjectured recently in much greater generality by Arthur. A triviality result is proved for the Whittaker normalization of spectral transfer factors which simplifies the results for certain inner forms of a quasi-split group.
Similar Articles
  • Retrieve articles in Representation Theory of the American Mathematical Society with MSC (2000): 22E45, 22E50
  • Retrieve articles in all journals with MSC (2000): 22E45, 22E50
Bibliographic Information
  • D. Shelstad
  • Affiliation: Department of Mathematics, Rutgers University, Newark, New Jersey 07102
  • Email:
  • Received by editor(s): January 15, 2008
  • Published electronically: October 17, 2008
  • © Copyright 2008 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Represent. Theory 12 (2008), 369-402
  • MSC (2000): Primary 22E45, 22E50
  • DOI:
  • MathSciNet review: 2448289