Silting and tilting for weakly symmetric algebras

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

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Abstract

If A is a finite-dimensional symmetric algebra, then it is well-known that the only silting complexes in Kb(projA) 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.

Item Type:Articles
Additional Information:Open Access funding enabled and organized by Projekt DEAL.
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:August, Dr Jenny
Authors: August, J., and Dugas, A.
College/School:University Services > Learning and Teaching Services Division
Journal Name:Algebras and Representation Theory
Publisher:Springer
ISSN:1386-923X
ISSN (Online):1572-9079
Published Online:06 September 2021
Copyright Holders:Copyright © 2021 The Authors
First Published:First published in Algebras and Representation Theory 26:169-179
Publisher Policy:Reproduced under a Creative Commons License

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