Generalizations of the relationship between quasi-hereditary algebras and directed bocses

Generalizations of the relationship between quasi-hereditary algebras and directed bocses

Koenig, K\"ulshammer and Ovsienko showed that Morita equivalence classes of quasi-hereditary algebras are in one-to-one correspondence with equivalence classes of the module categories over directed bocses. In this article, we extend this result to $\Delta$-filtered algebras and $\overline{\Del...

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Bibliographic Details
Main Author: Goto, Yuichiro
Format: Journal Article
Language:English
Published: 01-02-2022
Subjects:
Mathematics - Representation Theory
Online Access:Get full text
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Summary:Koenig, K\"ulshammer and Ovsienko showed that Morita equivalence classes of quasi-hereditary algebras are in one-to-one correspondence with equivalence classes of the module categories over directed bocses. In this article, we extend this result to $\Delta$-filtered algebras and $\overline{\Delta}$-filtered algebras.
DOI:10.48550/arxiv.2202.00385