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arXiv · 1906.08348

Some algebras that are not silting connected

Alex Dugas
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Abstract

We give examples of finite-dimensional algebras $A$ for which the silting objects in $K^b(\mbox{proj-}A)$ 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.

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Alex Dugas. 2019-06-19. Some algebras that are not silting connected. https://arxiv.org/abs/1906.08348

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