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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.

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.


Semistable locus of a group compactification
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by Xuhua He and Jason Starr PDF
Represent. Theory 15 (2011), 574-583 Request permission


In this paper, we consider the diagonal action of a connected semisimple group of adjoint type on its wonderful compactification. We show that the semistable locus is a union of the $G$-stable pieces and we calculate the geometric quotient.
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Additional Information
  • Xuhua He
  • Affiliation: Department of Mathematics, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong
  • Email:
  • Jason Starr
  • Affiliation: Department of Mathematics, Stony Brook University, Stony Brook, New York 11794
  • Email:
  • Received by editor(s): January 28, 2009
  • Received by editor(s) in revised form: January 24, 2011
  • Published electronically: August 2, 2011
  • Additional Notes: The first author was partially supported by (USA) NSF grant DMS 0700589 (HK) RGC grant DAG08/09.SC03 and RGC grant 601409.
    The second author was partially supported by an Alfred P. Sloan fellowship, NSF grant DMS-0553921 and NSF grant DMS-0758521.
  • © Copyright 2011 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Represent. Theory 15 (2011), 574-583
  • MSC (2010): Primary 14L30, 14L24
  • DOI:
  • MathSciNet review: 2833468