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math.RT2022★ 2 cited
Quasi-hereditary covers of Temperley-Lieb algebras and relative dominant dimension
Tiago Cruz, Karin Erdmann
Many connections and dualities in representation theory can be explained using quasi-hereditary covers in the sense of Rouquier. The concepts of relative dominant and codominant di…
math.RT2022
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.RT2022★ 2 cited
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;…