Cluster algebras associated with open Richardson varieties: an algorithm to compute initial seeds

2022/01/25 by Ménard, Etienne · 1 citation
#Combinatorics (math.CO) #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2201.10292

Abstract

We present a new algorithm to compute initial seeds for cluster structures on categories associated with coordinate rings of open Richardson varieties. This allows us to explicitely determine seeds first considered in Leclerc's 2016 article.

Cited by

• Upper cluster structure on Kac--Moody Richardson varieties

Related

• On Leclerc's conjectural cluster structures for open Richardson varieties
• Upper cluster structure on Kac--Moody Richardson varieties
• Leclerc's conjecture on a cluster structure for type A Richardson varieties
• Introduction to Cluster Algebras. Chapter 6
• On a category of cluster algebras