English

An explicit description for quiver Grassmannians of the Kronecker quiver

Representation Theory 2024-04-01 v1

Abstract

It is an open problem to find cell decompositions of quiver Grassmannians associated to each cluster variable. We initiate a new approach to this problem by giving an explicit description for each individual subrepresentation. In this paper, we illustrate our approach for the Kronecker quiver.

Keywords

Cite

@article{arxiv.2403.19804,
  title  = {An explicit description for quiver Grassmannians of the Kronecker quiver},
  author = {Ulysses Alvarez and Kyungyong Lee},
  journal= {arXiv preprint arXiv:2403.19804},
  year   = {2024}
}