Preprojective algebras and MV polytopes

By Pierre Baumann, Joel Kamnitzer. 2010

49 citations recorded by the source corpus.

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.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/a10fbdf804389272c461aef8775af245b8a704b6

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Discrete Mathematics and Combinatorics

1. Pierre Baumann
2. Peter Tingley
3. Joel Kamnitzer
4. Yuya Mizuno
5. Takuma Aihara

In Geometry and Topology

1. Pierre Baumann
2. Peter Tingley
3. Yuya Mizuno
4. Takuma Aihara
5. Joel Kamnitzer
6. T. Adachi
7. Sabin Cautis
8. David E. V. Rose

In Statistical and Nonlinear Physics

1. Yuya Mizuno
2. Peter Tingley
3. Pierre Baumann
4. Joel Kamnitzer
5. Takuma Aihara
6. Aslak Bakke Buan
7. Yu Zhou

Citations in the corpus

• Classifying tilting complexes over preprojective algebras of Dynkin type (2015, background): “Note that it has recently been understood that these ideals play an important role in several situations, for example [Iyama and Reiten 2008; Buan et al. 2009; Geiß et al. 2011; Oppermann et al. 2015; Baumann and Kamnitzer 2012; Baumann et al. 2014].”
• Affine Mirković-Vilonen polytopes (2011, methodology): “20, shows that the definition of Pol(T ) given in [5] is identical to the definition used in the present paper.”