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

Etienne Menard (1)

1 IF - Institut Fourier

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.

Mots clés: Cluster Algebras; Categorification; Open Richardson Varieties

Domaines: Théorie des représentations [math.RT]; Combinatoire [math.CO]; Géométrie algébrique [math.AG]

Etienne Menard. Cluster algebras associated with open Richardson varieties: an algorithm to compute initial seeds. 2022. ⟨hal-03638968⟩