4 papers
Derivations as Algebras
Jean-Simon Pacaud Lemay, Chiara Sava
Differential categories provide the categorical foundations for the algebraic approaches to differentiation. They have been successful in formalizing various important concepts rel…
The derivator of a dg-category
Francesco Genovese, Chiara Sava, Jan Šťovíček
In this work, we construct the stable derivator associated to a homotopically complete and cocomplete dg-category by explicitly defining homotopy Kan extensions via suitable weight…
-Dold-Kan correspondence via representation theory
Chiara Sava
We give a purely derivator-theoretical reformulation and proof of a classic result of Happel and Ladkani, showing that it occurs uniformly across stable derivators and it is then i…
Equivalent definitions of the preprojective algebra
Chiara Sava
Following the article of C. M. Ringel we introduce preprojective algebras of a Dynkin quiver starting from three definitions which, despite concerning completely different alge…