2 papers
math.QA2019
Toroidal Grothendieck rings and cluster algebras
Laura Fedele, David Hernandez
We study deformations of cluster algebras with several quantum parameters, called toroidal cluster algebras, which naturally appear in the study of Grothendieck rings of representa…
math.RT2018
Generators of the quantum finite W-algebras in type A
Alberto De Sole, Laura Fedele, Daniele Valeri
We prove a conjecture proposed in [DSKV16] describing the Lax type operator L(z) for the quantum finite W-algebras of gl_N in terms of a PBW generating system for the W-algebra. In…