Endomorphism algebras arising from mutations

Abstract

Let $A$ be a finite dimensional algebra over an algebraically closed field $k$, ${\mathcal{D}}^b(A)$ be the bounded derived category of $A$-mod and $A^{(m)}$ be the $m$-replicated algebra of $A$. In this paper, we investigate the structure properties of endomorphism algebras arising from silting mutation in ${\mathcal{D}}^b(A)$ and tilting mutation in $A^{(m)}$-mod.

16 pages. arXiv admin note: text overlap with arXiv:1005.0276 by other authors

References in corpus (2)

• On triangulated orbit categories
• Tilting mutation for $m$-replicated algebras