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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.


Twisting functors on $\mathcal {O}$
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by Henning Haahr Andersen and Catharina Stroppel
Represent. Theory 7 (2003), 681-699
Published electronically: December 3, 2003


This paper studies twisting functors on the main block of the Bernstein-Gelfand-Gelfand category $\mathcal {O}$ and describes what happens to (dual) Verma modules. We consider properties of the right adjoint functors and show that they induce an auto-equivalence of derived categories. This allows us to give a very precise description of twisted simple objects. We explain how these results give a reformulation of the Kazhdan-Lusztig conjectures in terms of twisting functors.
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Bibliographic Information
  • Henning Haahr Andersen
  • Affiliation: Department of Mathematics, University of Aarhus, Dk-8000 Aarhus C, Denmark
  • Email:
  • Catharina Stroppel
  • Affiliation: Department of Mathematics and Computer Science, Leicester University, GB Leicester LE1 7RH
  • Address at time of publication: University of Aarhus, Ny Munkegade 530, Dk-8000 Aarhus C, Denmark
  • Email:,
  • Received by editor(s): February 27, 2003
  • Received by editor(s) in revised form: July 10, 2003
  • Published electronically: December 3, 2003
  • © Copyright 2003 by the authors
  • Journal: Represent. Theory 7 (2003), 681-699
  • MSC (2000): Primary 17B10, 17B35, 20F29
  • DOI:
  • MathSciNet review: 2032059