47 pages, 20 figuresWe 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
Cluster algebras have recently become an important player in mathematics and physics. In this work, ...
The k-means algorithm is one of the most popular clustering techniques because of its speed and simp...
Cluster algebras are commutative rings inside a rational function field with a distinguished set of ...
Les algèbres amassées sont des anneaux commutatifs intègres avec une structure combinatoire particul...
Cluster algebras are integral domains with a particular combinatorial structure. This structure cons...
Cluster algebras are a class of commutative rings with a remarkable combinatorial structure, introdu...
Abstract. Cluster algebras are commutative rings with a set of distinguished generators having a rem...
67 pages, 28 figuresWe show the existence of cluster $\mathcal{A}$-structures and cluster Poisson st...
We present an initial-seed-mutation formula for d-vectors of clus- ter variables in a cluster algeb...
We introduce $3$-dimensional generalizations of Postnikov's plabic graphs and use them to establish ...
1.1. Cluster algebras. Cluster algebras were introduced in 2000 by S. Fomin and A. Zelevinsky [26] a...
Abstract. We give combinatorial formulas for the Laurent expansion of any cluster variable in any cl...
Initial seed artefacts play a vital role in proper categorization of the given data set in partition...
We give an explicit description of all the exchange relations in any finite type cluster algebra wi...
The main goal of this paper is to show that the (multi-homogeneous) coordinate ring of a partial fla...
Cluster algebras have recently become an important player in mathematics and physics. In this work, ...
The k-means algorithm is one of the most popular clustering techniques because of its speed and simp...
Cluster algebras are commutative rings inside a rational function field with a distinguished set of ...
Les algèbres amassées sont des anneaux commutatifs intègres avec une structure combinatoire particul...
Cluster algebras are integral domains with a particular combinatorial structure. This structure cons...
Cluster algebras are a class of commutative rings with a remarkable combinatorial structure, introdu...
Abstract. Cluster algebras are commutative rings with a set of distinguished generators having a rem...
67 pages, 28 figuresWe show the existence of cluster $\mathcal{A}$-structures and cluster Poisson st...
We present an initial-seed-mutation formula for d-vectors of clus- ter variables in a cluster algeb...
We introduce $3$-dimensional generalizations of Postnikov's plabic graphs and use them to establish ...
1.1. Cluster algebras. Cluster algebras were introduced in 2000 by S. Fomin and A. Zelevinsky [26] a...
Abstract. We give combinatorial formulas for the Laurent expansion of any cluster variable in any cl...
Initial seed artefacts play a vital role in proper categorization of the given data set in partition...
We give an explicit description of all the exchange relations in any finite type cluster algebra wi...
The main goal of this paper is to show that the (multi-homogeneous) coordinate ring of a partial fla...
Cluster algebras have recently become an important player in mathematics and physics. In this work, ...
The k-means algorithm is one of the most popular clustering techniques because of its speed and simp...
Cluster algebras are commutative rings inside a rational function field with a distinguished set of ...