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.


Categorical Langlands correspondence for $\operatorname {SO}_{n,1}(\mathbb {R})$
HTML articles powered by AMS MathViewer

by Immanuel Halupczok
Represent. Theory 10 (2006), 223-253
Published electronically: April 6, 2006


In the context of the local Langlands philosopy for $\mathbb {R}$, Adams, Barbasch and Vogan describe a bijection between the simple Harish-Chandra modules for a real reductive group $G(\mathbb {R})$ and the space of “complete geometric parameters”—a space of equivariant local systems on a variety on which the Langlands-dual of $G(\mathbb {R})$ acts. By a conjecture of Soergel, this bijection can be enhanced to an equivalence of categories. In this article, that conjecture is proven in the case where $G(\mathbb {R})$ is a generalized Lorentz group $\operatorname {SO}_{n,1}(\mathbb {R})$.
Similar Articles
  • Retrieve articles in Representation Theory of the American Mathematical Society with MSC (2000): 22E50, 20G05, 32S60, 11S37
  • Retrieve articles in all journals with MSC (2000): 22E50, 20G05, 32S60, 11S37
Bibliographic Information
  • Immanuel Halupczok
  • Affiliation: Albert-Ludwigs-Universität Freiburg, Mathematisches Institut, Eckerstraße 1, 79104 Freiburg, Germany
  • Email:
  • Received by editor(s): June 5, 2005
  • Received by editor(s) in revised form: February 6, 2006
  • Published electronically: April 6, 2006
  • Additional Notes: The author was supported in part by the “Landesgraduiertenförderung Baden-Württemberg”. He also wishes to thank Wolfgang Soergel for making this article possible
  • © Copyright 2006 Immanuel Halupczok
  • Journal: Represent. Theory 10 (2006), 223-253
  • MSC (2000): Primary 22E50, 20G05, 32S60; Secondary 11S37
  • DOI:
  • MathSciNet review: 2219113