5 papers
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…
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…
Penrose tilings, infinite friezes, and the -singularity
Ãzgür 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…
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…
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…