On Leclerc's conjectural cluster structures for open Richardson varieties
Representation Theory
2022-07-22 v1
Abstract
In 2016, Leclerc constructed conjectural cluster structures on open Richardson varieties using representations of preprojective algebras. A variant with more explicit seeds was obtained by M\'enard in his thesis. We show that M\'enard's seeds do yield *upper* cluster algebra structures on open Richardson varieties and discuss the problems that remain in order to prove that they are cluster algebra structures.
Keywords
Cite
@article{arxiv.2207.10184,
title = {On Leclerc's conjectural cluster structures for open Richardson varieties},
author = {Peigen Cao and Bernhard Keller},
journal= {arXiv preprint arXiv:2207.10184},
year = {2022}
}
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11 pages