Julian Külshammer
Published 2023-12-20Version 1
In this survey article we propose the notion of a bound quiver for an exact category generalising the classical concept of the Gabriel quiver and its relation for a module category as certain ring extension. The notion is motivated by joint work of the author with Vanessa Miemietz, Steffen Koenig and Sergiy Ovsienko in the case where the exact category is the category of modules with a standard filtration for a quasi-hereditary algebra. We conclude with a variety of examples in this case.
From quasi-hereditary algebras with exact Borel subalgebras to directed bocses
In the bocs seat: Quasi-hereditary algebras and representation type
A pairing in homology and the category of linear complexes of tilting modules for a quasi-hereditary algebra
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