Linear Reedy categories, quasi-hereditary algebras and model structures

Autor:	Dalezios, Georgios, Stovicek, Jan
Rok vydání:	2024
Předmět:	Mathematics - Representation Theory Mathematics - Algebraic Topology Mathematics - Category Theory 16G10 18N40 (Primary) 16W70 16G20 (Secondary)
Druh dokumentu:	Working Paper
Popis:	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 $\mathcal{C}$ over a field, the category of left $\mathcal{C}$--modules admits a highest weight structure, which in case $\mathcal{C}$ is finite corresponds to a quasi-hereditary algebra with an exact Borel subalgebra. We also lift complete cotorsion pairs and abelian model structures to certain categories of additive functors indexed by linear Reedy categories, generalizing analogous results from the hereditary case. Comment: 46 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2409.06823 Zobrazit plný text záznamu View this record from Arxiv