Some algebras that are not silting connected
Representation Theory
2019-06-21 v1
Abstract
We give examples of finite-dimensional algebras for which the silting objects in are not connected by any sequence of (possibly reducible) silting mutations. The argument is based on the fact that silting mutation preserves invariance under twisting by a fixed algebra automorphism, combined with the existence of spherical modules that are not invariant under such a twist.
Cite
@article{arxiv.1906.08348,
title = {Some algebras that are not silting connected},
author = {Alex Dugas},
journal= {arXiv preprint arXiv:1906.08348},
year = {2019}
}