3 papers
math.RT2026
The proper stable module category of a group algebra
Georgios Dalezios, Juan Omar Gómez
We introduce the proper stable module category for an arbitrary discrete group over any commutative ring by means of cotorsion pairs and abelian model structures. This category is…
math.RT2026
Triangular decompositions: Reedy algebras and quasi-hereditary algebras
Teresa Conde, Georgios Dalezios, Steffen Koenig
Finite-dimensional Reedy algebras form a ring-theoretic analogue of Reedy categories and were recently proved to be quasi-hereditary. We identify Reedy algebras with quasi-heredita…
math.RT2025
Linear Reedy categories, quasi-hereditary algebras and model structures
Georgios Dalezios, Jan Stovicek
We study linear versions of Reedy categories in relation with finite dimensional algebras and abelian model structures. We prove that, for a linear Reedy category ove…