The links between the theory of cluster algebras [19],[20],[6],[22] and functional identities for
the Rogers dilogarithm first became apparent through Fomin-Zelevinsky's proof [21] of …

We show the existence of cluster $\mathcal {A} $-structures and cluster Poisson structures
on any braid variety, for any simple Lie group. The construction is achieved via weave …

We prove that the quantum cluster algebra structure of a unipotent quantum coordinate ring
$ A_q (\mathfrak {n}(w)) $, associated with a symmetric Kac–Moody algebra and its Weyl …

Bases for cluster algebras from surfaces Page 1 COMPOSITIO MATHEMATICA Bases for
cluster algebras from surfaces Gregg Musiker, Ralf Schiffler and Lauren Williams …

We show that the quantum coordinate ring of the unipotent subgroup N (w) of a symmetric
Kac–Moody group G associated with a Weyl group element w has the structure of a quantum …

In view of classification of the quiver 4d supersymmetric gauge theories, we discuss the
characterization of the quivers with superpotential associated to a QFT which, in some …

Abstract We study support\(\tau\)-tilting modules over preprojective algebras of Dynkin type.
We classify basic support\(\tau\)-tilting modules by giving a bijection with elements in the …

We consider the quantum cluster algebras which are injective-reachable and introduce a
triangular basis in every seed. We prove that, under some initial conditions, there exists a …

The exchange graph of a cluster algebra encodes the combinatorics of mutations of clusters.
Through the recent" categorifications" of cluster algebras using representation theory one …

Cluster algebras with coefficients are important since they appear in nature as coordinate
algebras of varieties like Grassmannians, double Bruhat cells, unipotent cells,···. The …