3 papers
math.RT2025
The index in -exact categories
Francesca Fedele, Peter Jørgensen, Amit Shah
Starting from its original definition in module categories with respect to projective modules, the index has played an important role in various aspects of homological algebra, cat…
math.RT2025
Tilting in -shaped derived categories
Sira Gratz, Henrik Holm, Peter Jorgensen +1
The main result of this paper is that there is sometimes a triangulated equivalence between , the -shaped derived category of an algebra , and , the classic…
math.RT2024
The index with respect to a contravariantly finite subcategory
Francesca Fedele, Peter Jorgensen, Amit Shah
Cluster algebras are categorified by cluster categories, and -vectors are categorified by the classic index with respect to cluster tilting subcategories. However, the recently…