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Representation Theory
Representation Theory
ISSN 1088-4165

Preprojective algebras and MV polytopes


Authors: Pierre Baumann and Joel Kamnitzer
Journal: Represent. Theory 16 (2012), 152-188
MSC (2010): Primary 05E10; Secondary 16G20, 17B10, 22E46, 52B20
Posted: March 12, 2012
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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
Email: jkamnitz@math.toronto.edu

DOI: http://dx.doi.org/10.1090/S1088-4165-2012-00413-7
PII: S 1088-4165(2012)00413-7
Received by editor(s): October 6, 2010
Received by editor(s) in revised form: August 22, 2011
Posted: March 12, 2012
Article copyright: © Copyright 2012 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.