Silting and tilting for weakly symmetric algebras

August, Jenny; Dugas, Alex

doi:10.1007/s10468-021-10090-6

Item

ITEM ACTIONSEXPORT

Add to Basket

Local TagsRelease HistoryDetailsSummary

Released

Journal Article

Silting and tilting for weakly symmetric algebras

MPS-Authors

/persons/resource/persons246906

August, Jenny
Max Planck Institute for Mathematics, Max Planck Society;

External Resource

https://doi.org/10.1007/s10468-021-10090-6
(Publisher version)

https://doi.org/10.48550/arXiv.2101.03097
(Preprint)

Fulltext (restricted access)

There are currently no full texts shared for your IP range.

Fulltext (public)

August-Dugas_Silting and tilting for weakly symmetric algebras_2023.pdf
(Publisher version), 464KB

Supplementary Material (public)

There is no public supplementary material available

Citation

August, J., & Dugas, A. (2023). Silting and tilting for weakly symmetric algebras. Algebras and Representation Theory, 26(1), 169-179. doi:10.1007/s10468-021-10090-6.

Cite as: https://hdl.handle.net/21.11116/0000-0009-2D93-F

Abstract

If A is a finite-dimensional symmetric algebra, then it is well-known that
the only silting complexes in $\mathrm{K^b}(\mathrm{proj}A)$ are the tilting
complexes. In this note we investigate to what extent the same can be said for
weakly symmetric algebras. On one hand, we show that this holds for all
tilting-discrete weakly symmetric algebras. In particular, a tilting-discrete
weakly symmetric algebra is also silting-discrete. On the other hand, we also
construct an example of a weakly symmetric algebra with silting complexes that
are not tilting.