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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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Preprojective algebras and MV polytopes
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by Pierre Baumann and Joel Kamnitzer PDF
Represent. Theory 16 (2012), 152-188 Request permission

Abstract:

The purpose of this paper is to apply the theory of MV polytopes to the study of components of Lusztig’s nilpotent varieties. Along the way, we introduce reflection functors for modules over the non-deformed preprojective algebra of a quiver.
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Additional Information
  • Pierre Baumann
  • Affiliation: Institut de Recherche Mathématique Avancée, Université de Strasbourg et CNRS, 7 rue René Descartes, 67084 Strasbourg Cedex, France
  • Email: p.baumann@unistra.fr
  • Joel Kamnitzer
  • Affiliation: Department of Mathematics, University of Toronto, Bahen Centre, 40 St. George St., Toronto, Ontario, Canada ON M5S 2E4
  • MR Author ID: 676374
  • Email: jkamnitz@math.toronto.edu
  • Received by editor(s): October 6, 2010
  • Received by editor(s) in revised form: August 22, 2011
  • Published electronically: March 12, 2012
  • © Copyright 2012 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Represent. Theory 16 (2012), 152-188
  • MSC (2010): Primary 05E10; Secondary 16G20, 17B10, 22E46, 52B20
  • DOI: https://doi.org/10.1090/S1088-4165-2012-00413-7
  • MathSciNet review: 2892443