An explicit description for quiver Grassmannians of the Kronecker quiver

Fuente: arXiv
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Autori principali: Alvarez, Ulysses, Lee, Kyungyong
Natura: Preprint
Pubblicazione: 2024
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author Alvarez, Ulysses
Lee, Kyungyong
author_facet Alvarez, Ulysses
Lee, Kyungyong
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2403_19804
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle An explicit description for quiver Grassmannians of the Kronecker quiver
Alvarez, Ulysses
Lee, Kyungyong
Representation Theory
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.
title An explicit description for quiver Grassmannians of the Kronecker quiver
topic Representation Theory
url https://arxiv.org/abs/2403.19804