Examples of tilting-discrete self-injective algebras which are not silting-discrete. (English) Zbl 07926396
Summary: In this paper, we introduce the notion of \(\nu \)-stable silting-discrete algebras, which unify silting-discrete algebras and tilting-discrete self-injective algebras, where \(\nu\) is a triangle auto-equivalence of the bounded homotopy category of finitely generated projective modules. Moreover, we give an example of tilting-discrete self-injective algebras which are not silting-discrete.
MSC:
| 18G80 | Derived categories, triangulated categories |
| 16G60 | Representation type (finite, tame, wild, etc.) of associative algebras |
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