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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.


Compatible intertwiners for representations of finite nilpotent groups
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by Masoud Kamgarpour and Teruji Thomas
Represent. Theory 15 (2011), 407-432
Published electronically: May 16, 2011


We sharpen the orbit method for finite groups of small nilpotence class by associating representations to functionals on the corresponding Lie rings. This amounts to describing compatible intertwiners between representations parameterized by an additional choice of polarization. Our construction is motivated by the theory of the linearized Weil representation of the symplectic group. In particular, we provide generalizations of the Maslov index and the determinant functor to the context of finite abelian groups.
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Bibliographic Information
  • Masoud Kamgarpour
  • Affiliation: The University of British Columbia, Vancouver, Canada V6T 1Z2
  • Email:
  • Teruji Thomas
  • Affiliation: The University of Edinburgh, Edinburgh, United Kingdom EH9 3JZ
  • Email:
  • Received by editor(s): October 29, 2009
  • Received by editor(s) in revised form: August 16, 2010
  • Published electronically: May 16, 2011
  • Additional Notes: The first author was supported by NSERC PDF grant. The second author was supported by a JRF at Merton College, Oxford and a Seggie Brown Fellowship at Edinburgh.
  • © Copyright 2011 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Represent. Theory 15 (2011), 407-432
  • MSC (2010): Primary 20C15
  • DOI:
  • MathSciNet review: 2801175