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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.


Nice parabolic subalgebras of reductive Lie algebras
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by Karin Baur and Nolan Wallach
Represent. Theory 9 (2005), 1-29
Published electronically: January 10, 2005

Erratum: Represent. Theory 9 (2005), 267-267.


This paper gives a classification of parabolic subalgebras of simple Lie algebras over $\mathbb {C}$ that are complexifications of parabolic subalgebras of real forms for which Lynch’s vanishing theorem for generalized Whittaker modules is non-vacuous. The paper also describes normal forms for the admissible characters in the sense of Lynch (at least in the quasi-split cases) and analyzes the important special case when the parabolic is defined by an even embedded TDS (three-dimensional simple Lie algebra).
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Bibliographic Information
  • Karin Baur
  • Affiliation: Department of Mathematics, University of California, San Diego, 9500 Gilman Drive, La Jolla, California 92093-0112
  • MR Author ID: 724373
  • ORCID: 0000-0002-7665-476X
  • Email:
  • Nolan Wallach
  • Affiliation: Department of Mathematics, University of California, San Diego, 9500 Gilman Drive, La Jolla, California 92093-0112
  • MR Author ID: 180225
  • Email:
  • Received by editor(s): October 5, 2004
  • Received by editor(s) in revised form: November 1, 2004
  • Published electronically: January 10, 2005
  • Additional Notes: First named author supported by the Swiss National Science Foundation
    Second named author partially supported by an NSF summer grant
  • © Copyright 2005 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Represent. Theory 9 (2005), 1-29
  • MSC (2000): Primary 17B45
  • DOI:
  • MathSciNet review: 2123123