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Representation Theory

Published by the American Mathematical Society, the Representation Theory (ERT) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-4165

The 2020 MCQ for Representation Theory is 0.7.

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Center of infinitesimal Cherednik algebras of $\mathfrak {gl}_n$
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by Akaki Tikaradze PDF
Represent. Theory 14 (2010), 1-8 Request permission


We show that the center of an infinitesimal Cherednik algebra of $\mathfrak {gl}_n$ is isomorphic to the polynomial algebra of $n$ variables. As consequences of this fact, we show that an analog of Duflo’s theorem holds and all objects in the category $\mathcal {O}$ have finite length.
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Additional Information
  • Akaki Tikaradze
  • Affiliation: Department of Mathematics, The University of Toledo, Toledo, Ohio 43606
  • MR Author ID: 676866
  • Email:
  • Received by editor(s): May 5, 2009
  • Received by editor(s) in revised form: July 7, 2009
  • Published electronically: January 4, 2010
  • © Copyright 2010 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Represent. Theory 14 (2010), 1-8
  • MSC (2010): Primary 17-XX
  • DOI:
  • MathSciNet review: 2577654