3 papers
math.RT2024
Characteristic tilting modules and Ringel duality in the Noetherian world
Tiago Cruz
The foundations of Ringel duality for split quasi-hereditary algebras over commutative Noetherian rings are strengthened. Several descriptions and properties of the smallest resolv…
math.RT2024
On split quasi-hereditary covers and Ringel duality
Tiago Cruz
In this paper, we develop two new homological invariants called relative dominant dimension with respect to a module and relative codominant dimension with respect to a module. The…
math.RT2024
On Noetherian algebras, Schur functors and Hemmer-Nakano dimensions
Tiago Cruz
Important connections in representation theory arise from resolving a finite-dimensional algebra by an endomorphism algebra of a generator-cogenerator with finite global dimension;…