Some algebras that are not silting connected

2019/06/19 by Dugas, Alex · 1 citation
#FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1906.08348

Abstract

We give examples of finite-dimensional algebras A for which the silting objects in K^b(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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