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.


Vogan duality for nonlinear type B
HTML articles powered by AMS MathViewer

by Scott Crofts
Represent. Theory 15 (2011), 258-306
Published electronically: March 24, 2011


Let $\mathbb {G}=\mathrm {Spin}[4n+1]$ be the connected, simply connected complex Lie group of type $B_{2n}$ and let $G=\mathrm {Spin}(p,q)$ $(p+q=4n+1)$ denote a (connected) real form. If $q \notin \left \{0,1\right \}$, $G$ has a nontrivial fundamental group and we denote the corresponding nonalgebraic double cover by $\tilde {G}=\widetilde {\mathrm {Spin}}(p,q)$. The main purpose of this paper is to describe a symmetry in the set of genuine parameters for the various $\tilde {G}$ at certain half-integral infinitesimal characters. This symmetry is used to establish a duality of the corresponding generalized Hecke modules and ultimately results in a character multiplicity duality for the genuine characters of $\tilde {G}$.
Similar Articles
  • Retrieve articles in Representation Theory of the American Mathematical Society with MSC (2010): 20G05
  • Retrieve articles in all journals with MSC (2010): 20G05
Bibliographic Information
  • Scott Crofts
  • Affiliation: Department of Mathematics, University of California, Santa Cruz, California 95064
  • Received by editor(s): August 13, 2009
  • Received by editor(s) in revised form: August 5, 2010
  • Published electronically: March 24, 2011
  • © Copyright 2011 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Represent. Theory 15 (2011), 258-306
  • MSC (2010): Primary 20G05
  • DOI:
  • MathSciNet review: 2788895