Geodesic
On split quasi-hereditary covers and Ringel duality
Forum of Mathematics, Sigma, Tome 12 (2024)

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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. Among the applications are precise connections between Ringel duality, split quasi-hereditary covers and double centralizer properties, constructions of split quasi-hereditary covers of quotients of Iwahori-Hecke algebras using Ringel duality of q-Schur algebras and a new proof for Ringel self-duality of the blocks of the Bernstein-Gelfand-Gelfand category $\mathcal {O}$. These homological invariants are studied over Noetherian algebras which are finitely generated and projective as a module over the ground ring. They are shown to behave nicely under change of rings techniques. 
@article{10_1017_fms_2024_108,
     author = {Tiago Cruz},
     title = {On split quasi-hereditary covers and {Ringel} duality},
     journal = {Forum of Mathematics, Sigma},
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     year = {2024},
     doi = {10.1017/fms.2024.108},
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     url = {http://geodesic.mathdoc.fr/articles/10.1017/fms.2024.108/}
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Tiago Cruz. On split quasi-hereditary covers and Ringel duality. Forum of Mathematics, Sigma, Tome 12 (2024). doi: 10.1017/fms.2024.108

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