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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.


The Peterson variety and the wonderful compactification
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by Ana Bălibanu
Represent. Theory 21 (2017), 132-150
Published electronically: July 20, 2017


We look at the centralizer in a semisimple algebraic group $G$ of a regular nilpotent element $e\in \text {Lie}(G)$ and show that its closure in the wonderful compactification is isomorphic to the Peterson variety. It follows that the closure in the wonderful compactification of the centralizer $G^x$ of any regular element $x\in \text {Lie}(G)$ is isomorphic to the closure of a general $G^x$-orbit in the flag variety. We also give a description of the $G^e$-orbit structure of the Peterson variety.
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Bibliographic Information
  • Ana Bălibanu
  • Affiliation: Department of Mathematics, University of Chicago, 5734 S. University Ave., Chicago, IL 60637
  • Email:
  • Received by editor(s): May 30, 2016
  • Received by editor(s) in revised form: February 23, 2017
  • Published electronically: July 20, 2017
  • © Copyright 2017 American Mathematical Society
  • Journal: Represent. Theory 21 (2017), 132-150
  • MSC (2010): Primary 20G05
  • DOI:
  • MathSciNet review: 3673527