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  Silting and tilting for weakly symmetric algebras

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.

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This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
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https://doi.org/10.1007/s10468-021-10090-6 (Verlagsversion)
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 Urheber:
August, Jenny1, Autor           
Dugas, Alex, Autor
Affiliations:
1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Schlagwörter: Mathematics, Representation Theory
 Zusammenfassung: 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.

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Sprache(n): eng - English
 Datum: 2023
 Publikationsstatus: Erschienen
 Seiten: -
 Ort, Verlag, Ausgabe: -
 Inhaltsverzeichnis: -
 Art der Begutachtung: Expertenbegutachtung
 Identifikatoren: arXiv: 2101.03097
DOI: 10.1007/s10468-021-10090-6
 Art des Abschluß: -

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Titel: Algebras and Representation Theory
Genre der Quelle: Zeitschrift
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Affiliations:
Ort, Verlag, Ausgabe: Springer
Seiten: - Band / Heft: 26 (1) Artikelnummer: - Start- / Endseite: 169 - 179 Identifikator: -