Azzurra Ciliberti

collaborators

4 papers

math.RT2026

A categorification of cluster algebras of type B and C through symmetric quivers

Azzurra Ciliberti

We express cluster variables of type $B_{n}$ and $C_{n}$ in terms of cluster variables of type $A_{n}$ . Then we associate a cluster tilted bound symmetric quiver $Q$ of type $A_{2 n - 1}$ t…

math.RT2026

Skew-symmetrizable cluster algebras from surfaces and symmetric quivers

Azzurra Ciliberti

We study skew-symmetrizable cluster algebras $A$ associated with unpunctured surfaces $S ~$ endowed with an orientation-preserving involution $I ¨ $ . We give…

math.RT2025

A multiplication formula for cluster characters in gentle algebras

Azzurra Ciliberti

We prove a multiplication formula for cluster characters induced by generating extensions in a gentle algebra A, generalizing a result of Cerulli Irelli, Esposito, Franzen, Reineke…

math.RT2025

Cluster expansion formulas and perfect matchings for type B and C

Azzurra Ciliberti

Let $P_{2 n + 2}$ be the regular polygon with $2 n + 2$ vertices, and let $I^¸$ be the rotation of 180 $^{\circ}$ . Fomin and Zelevinsky proved that $I^¸$ -invariant triangulations of…