Preprojective algebras and MV polytopes-Reference-Cited by-同舟云学术

Preprojective algebras and MV polytopes

Published:2012-03-12 Issue:5 Volume:16 Page:152-188
ISSN:1088-4165
Container-title:Representation Theory of the American Mathematical Society
language:en
Short-container-title:Represent. Theory

Author:

Baumann Pierre,Kamnitzer Joel

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.

Publisher

American Mathematical Society (AMS)

Subject

Mathematics (miscellaneous)

Link

http://www.ams.org/ert/2012-16-05/S1088-4165-2012-00413-7/S1088-4165-2012-00413-7.pdf

Reference32 articles.

1. A polytope calculus for semisimple groups;Anderson, Jared E.;Duke Math. J.,2003

2. Cambridge Studies in Advanced Mathematics;Auslander, Maurice,1995

3. P. Baumann, J. Kamnitzer, P. Tingley, Affine Mirković-Vilonen polytopes, in preparation.

4. Total positivity in Schubert varieties;Berenstein, Arkady;Comment. Math. Helv.,1997

5. Coxeter functors, and Gabriel’s theorem;Bernšteĭn, I. N.;Uspehi Mat. Nauk,1973

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