14 citations · 61 across the 25 of their papers we have counts for
30 papers
Singularities of star cluster algebras
Eleonore Faber, Bernd Schober
We introduce the class of star cluster algebras and classify their singularities. Then we focus on the combinatorial structure of the desingularization by determining the number of…
Penrose tilings, infinite friezes, and the -singularity
Özgür Esentepe, Eleonore Faber
We study Penrose tilings of the plane and nonperiodic infinite frieze patterns from the point of view of Cohen--Macaulay representation theory: Triangulations of the…
Frieze patterns in representation theory
Eleonore Faber
Friezes patterns are infinite arrays of numbers, in which every four neighbouring vertices arranged in a diamond satisfy the same arithmetic rule. Introduced in the late 1960s by C…
Frieze patterns and combinatorics of curve singularities
Eleonore Faber, Bernd Schober
We study the connection between Conway-Coxeter frieze patterns and the data of the minimal resolution of a complex curve singularity: using Popescu-Pampu's notion of the lotus of a…
An explicit derived McKay correspondence for some complex reflection groups of rank two
Anirban Bhaduri, Yael Davidov, Eleonore Faber +4
In this paper, we explore the derived McKay correspondence for several reflection groups, namely reflection groups of rank two generated by reflections of order two. We prove that…
Classification of singularities of cluster algebras of finite type II: coefficients
Angélica Benito, Eleonore Faber, Hussein Mourtada +1
We provide a complete classification of the singularities of cluster algebras of finite cluster type. This extends our previous work about the case of trivial coefficients. Additio…